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Ikeda Masahiro
池田 正弘
Ikeda Masahiro
池田 正弘
Graduate School of Information Science and Technology Department of Information Systems Engineering,Associate Professor
ikeda ist.osaka-u.ac.jp

keyword Real Analysis,Partial Differential Equations,Data analysis,Harmonic analysis,Machine Learning,Dynamical Systems,Functional Analysis,Fourier Analysis,Ordinary Differential Equations

Research History 12

  1. 2025/02 - Present
    Osaka University Graduate School of Information Science and Technology Department of Information Systems Engineering

  2. 2020/08 - 2025/01
    RIKEN Research Scientist

  3. 2017/04 - 2020/07
    RIKEN

  4. 2014/04 - 2017/03
    日本学術振興会 特別研究員PD

  5. 2013/09 - 2014/03
    Tohoku University Faculty of Science

  6. 2013/04 - 2013/08
    Osaka University School of Science

  7. 2011/04 - 2013/03
    日本学術振興会 特別研究員DC2

  8. 2025/02 - Present
    RIKEN

  9. 2024/10 - Present
    CREST「決定論的支配方程式による非線形・散逸・偶然性の動力学」, 関数空間論班, メンバー

  10. 2024/10 - Present
    CREST「1細胞データ科学を介した融合数理の革新」, 関数空間論班, メンバー

  11. 2017/04 - Present
    Keio University Faculty of Science and Technology Visiting researcher

  12. 2019/10 - 2025/03
    CREST「作用素論的データ解析に基づく複雑ダイナミクス計算基盤の創出」 数学グループ メンバー

Education 3

  1. 大阪大学大学院 理学研究科 数学専攻博士後期課程

    2010/04 - 2013/03

  2. 大阪大学大学院 理学研究科 数学専攻博士前期課程

    2008/04 - 2010/03

  3. Osaka University School of Science Department of Mathematics

    2004/04 - 2008/03

Professional Memberships 1

  1. 日本数学会

Research Areas 7

  1. Natural sciences / Mathematical physics and basic theory /

  2. Informatics / Mathematical informatics /

  3. Natural sciences / Basic analysis /

  4. Informatics / Information theory /

  5. Natural sciences / Applied mathematics and statistics / Dynamical Systems

  6. Natural sciences / Basic mathematics / Dynamical Systems

  7. Natural sciences / Mathematical analysis / Differential Equations

Awards 4

  1. 第26回情報論的学習理論ワークショップ(IBIS2023) 優秀プレゼンテーション賞 ファイナリスト

    園田 翔, 伊師 英之, 石川 勲, 池田 正弘 2023/11

  2. 第23回情報論的学習理論ワークショップ(IBIS2020) 優秀発表賞

    手嶋 毅志, 石川 勲, 東條 広一, 大野 健太, 池田 正弘, 杉山 将 2020/12

  3. 日本数学会 異分野・異業種研究交流会2017 ベストポスター発表

    池田 正弘 2017/11

  4. 建部賢弘賞 奨励賞

    池田 正弘 日本数学会 2015/09

Papers 86

  1. Variational problems for the system of nonlinear Schrödinger equations with derivative nonlinearities

    Hiroyuki Hirayama, Masahiro Ikeda

    Calculus of Variations and Partial Differential Equations Vol. 63 No. 7 2024/07/10 Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC
  2. Unconditional uniqueness and non-uniqueness for Hardy–Hénon parabolic equations

    Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi, Slim Tayachi

    Mathematische Annalen 2024/04/01 Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC
  3. Global existence and asymptotic behavior for semilinear damped wave equations on measure spaces

    Masahiro Ikeda, Koichi Taniguchi, Yuta Wakasugi

    Evolution Equations and Control Theory 2024 Research paper (scientific journal)

    Publisher: American Institute of Mathematical Sciences (AIMS)
  4. Scattering solutions to nonlinear Schrödinger equation with a long range potential

    Masaru Hamano, Masahiro Ikeda

    Journal of Mathematical Analysis and Applications Vol. 528 No. 1 p. 127468-127468 2023/12 Research paper (scientific journal)

    Publisher: Elsevier BV
  5. Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems

    Hayato Chiba, Masahiro Ikeda, Isao Ishikawa

    SIAM Journal on Applied Dynamical Systems Vol. 22 No. 4 p. 2825-2855 2023/10/12 Research paper (scientific journal)

    Publisher: Society for Industrial & Applied Mathematics (SIAM)
  6. Boundedness of composition operators on higher order Besov spaces in one dimension

    Masahiro Ikeda, Isao Ishikawa, Koichi Taniguchi

    Mathematische Annalen 2023/05/24 Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC
  7. Large time behavior of solutions to the Cauchy problem for the BBM–Burgers equation

    Ikki Fukuda, Masahiro Ikeda

    Journal of Differential Equations Vol. 336 p. 275-314 2022/11/05 Research paper (scientific journal)

  8. Boundedness of composition operators on reproducing kernel Hilbert spaces with analytic positive definite functions

    Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano

    Journal of Mathematical Analysis and Applications Vol. 511 No. 1 p. 126048-126048 2022/07 Research paper (scientific journal)

    Publisher: Elsevier BV
  9. Finding Cheeger cuts in hypergraphs via heat equation

    Masahiro Ikeda, Atsushi Miyauchi, Yuuki Takai, Yuichi Yoshida

    Theoretical Computer Science Vol. 930 p. 1-23 2022/07 Research paper (scientific journal)

    Publisher: Elsevier BV
  10. On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction

    Noriyoshi Fukaya, Vladimir Georgiev, Masahiro Ikeda

    Journal of Differential Equations Vol. 321 p. 258-295 2022/06/05 Research paper (scientific journal)

  11. Well-posedness and global dynamics for the critical Hardy–Sobolev parabolic equation

    Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi

    Nonlinearity Vol. 34 No. 11 p. 8094-8142 2021/11/01 Research paper (scientific journal)

    Publisher: IOP Publishing
  12. Well-posedness for the fourth-order Schrödinger equation with third order derivative nonlinearities

    Hiroyuki Hirayama, Masahiro Ikeda, Tomoyuki Tanaka

    Nonlinear Differential Equations and Applications NoDEA Vol. 28 No. 5 2021/09 Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC
  13. Life-span of Blowup Solutions to Semilinear Wave Equation with Space-dependent Critical Damping

    Masahiro Ikeda, Motohiro Sobajima

    Funkcialaj Ekvacioj Vol. 64 No. 2 p. 137-162 2021/08/15 Research paper (scientific journal)

    Publisher: Division of Functional Equations, The Mathematical Society of Japan (JST)
  14. Global dynamics below the ground state for the focusing semilinear Schrödinger equation with a linear potential

    Masahiro Ikeda

    Journal of Mathematical Analysis and Applications 2021 Research paper (scientific journal)

  15. Critical exponent for the wave equation with a time-dependent scale invariant damping and a cubic convolution

    Masahiro Ikeda, Tomoyuki Tanaka, Kyouhei Wakasa

    Journal of Differential Equations Vol. 270 p. 916-946 2021/01 Research paper (scientific journal)

    Publisher: Elsevier BV
  16. Blow-up phenomena of semilinear wave equations and their weakly coupled systems

    Masahiro Ikeda, Motohiro Sobajima, Kyouhei Wakasa

    Journal of Differential Equations Vol. 267 No. 9 p. 5165-5201 2019/10 Research paper (scientific journal)

    Publisher: Elsevier BV
  17. Sharp lifespan estimates of blowup solutions to semi-linear wave equations with time-dependent effective damping

    Masahiro Ikeda, Motohiro Sobajima, Yuta Wakasugi

    Journal of Hyperbolic Differential Equations Vol. 16 No. 03 p. 495-517 2019/09 Research paper (scientific journal)

    Publisher: World Scientific Pub Co Pte Lt
  18. Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method

    Masahiro Ikeda, Motohiro Sobajima

    Nonlinear Analysis Vol. 182 p. 57-74 2019/05 Research paper (scientific journal)

    Publisher: Elsevier BV
  19. Remark on upper bound for lifespan of solutions to semilinear evolution equations in a two-dimensional exterior domain

    Masahiro Ikeda, Motohiro Sobajima

    Journal of Mathematical Analysis and Applications Vol. 470 No. 1 p. 318-326 2019/02 Research paper (scientific journal)

    Publisher: Elsevier BV
  20. Estimates of Lifespan and Blow-up Rates for the Wave Equation with a Time-dependent Damping and a Power-type Nonlinearity

    Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi

    Funkcialaj Ekvacioj Vol. 62 No. 2 p. 157-189 2019 Research paper (scientific journal)

    Publisher: Division of Functional Equations, The Mathematical Society of Japan (JST)
  21. The sharp estimate of the lifespan for the semilinear wave equation with time-dependent damping

    Masahiro Ikeda, Takahisa Inui

    Differential and Integral Equations Vol. 32 p. 1-36 2019 Research paper (scientific journal)

  22. $ L^p $-$ L^q $ estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data

    Masahiro Ikeda, Takahisa Inui, Mamoru Okamoto, Yuta Wakasugi

    Communications on Pure & Applied Analysis Vol. 18 No. 4 p. 1967-2008 2019 Research paper (scientific journal)

    Publisher: American Institute of Mathematical Sciences (AIMS)
  23. Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data

    Masahiro Ikeda, Motohiro Sobajima

    Mathematische Annalen Vol. 372 No. 3-4 p. 1017-1040 2018/12 Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC
  24. Global dynamics below the standing waves for the focusing semilinear Schrödinger equation with a repulsive Dirac deltapotential

    Masahiro Ikeda, Takahisa Inui

    Analysis & PDE Vol. 10 No. 2 p. 481-512 2017/02/23 Research paper (scientific journal)

    Publisher: Mathematical Sciences Publishers
  25. Lifespan of solutions to the damped wave equation with a critical nonlinearity

    Masahiro Ikeda, Takayoshi Ogawa

    Journal of Differential Equations Vol. 261 No. 3 p. 1880-1903 2016/08 Research paper (scientific journal)

    Publisher: Elsevier BV
  26. Well-posedness for a quadratic derivative nonlinear Schrodinger system at the critical regularity

    Masahiro Ikeda, Nobu Kishimoto, Mamoru Okamoto

    JOURNAL OF FUNCTIONAL ANALYSIS Vol. 271 No. 4 p. 747-798 2016/08 Research paper (scientific journal)

  27. Small data blow-up of L (2) or H (1)-solution for the semilinear Schrodinger equation without gauge invariance

    Masahiro Ikeda, Takahisa Inui

    JOURNAL OF EVOLUTION EQUATIONS Vol. 15 No. 3 p. 571-581 2015/09 Research paper (scientific journal)

  28. Some non-existence results for the semilinear Schrodinger equation without gauge invariance

    Masahiro Ikeda, Takahisa Inui

    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Vol. 425 No. 2 p. 758-773 2015/05 Research paper (scientific journal)

  29. Null Structure in a System of Quadratic Derivative Nonlinear Schrödinger Equations

    Masahiro Ikeda, Soichiro Katayama, Hideaki Sunagawa

    Annales Henri Poincaré Vol. 16 No. 2 p. 535-567 2015/02 Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC
  30. A note on the lifespan of solutions to the semilinear damped wave equation

    Masahiro Ikeda, Yuta Wakasugi

    Proceedings of the American Mathematical Society Vol. 143 No. 1 p. 163-171 2014/08/19 Research paper (scientific journal)

    Publisher: American Mathematical Society (AMS)
  31. Small data blow-up of L^2-solution for the nonlinear Schrodinger equation without gauge invariance

    Masahiro Ikeda, Yuta Wakasugi

    Differential and Integral Equations p. 1275-1285 2013

  32. Scattering and Blow‐Up Dichotomy of the Energy‐Critical Nonlinear Schrödinger Equation With the Inverse‐Square Potential

    Masaru Hamano, Masahiro Ikeda

    Mathematical Methods in the Applied Sciences 2025/02/19 Research paper (scientific journal)

    Publisher: Wiley
  33. Smoothing estimate for the heat semigroup with a homogeneous weight on Morrey spaces

    Naoya Hatano, Masahiro Ikeda

    Proceedings of the American Mathematical Society 2025 Research paper (scientific journal)

  34. Heat equation on the hypergraph containing vertices with given data

    Takeshi Fukao, Masahiro Ikeda, Shun Uchida

    Journal of Mathematical Analysis and Applications Vol. 540 No. 1 p. 128675-128675 2024/12 Research paper (scientific journal)

    Publisher: Elsevier BV
  35. A unified Fourier slice method to derive ridgelet transform for a variety of depth-2 neural networks

    Sho Sonoda, Isao Ishikawa, Masahiro Ikeda

    Journal of Statistical Planning and Inference Vol. 233 p. 106184-106184 2024/12 Research paper (scientific journal)

    Publisher: Elsevier BV
  36. Lifespan estimates for semilinear damped wave equation in a two-dimensional exterior domain

    Masahiro Ikeda, Motohiro Sobajima, Koichi Taniguchi, Yuta Wakasugi

    Calculus of Variations and Partial Differential Equations Vol. 63 No. 9 2024/11/08 Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC
  37. Mass-energy threshold dynamics for the focusing NLS with a repulsive inverse-power potential

    Alex H. Ardila, Masaru Hamano, Masahiro Ikeda

    Evolution Equations and Control Theory Vol. 13 No. 5 p. 1401-1422 2024/10 Research paper (scientific journal)

    Publisher: American Institute of Mathematical Sciences (AIMS)
  38. Dynamic structure estimation from Bandit Feedback

    Transactions on Machine Learning Research 2024/07 Research paper (scientific journal)

  39. Algebraic decay rates for 3D Navier–Stokes and Navier–Stokes–Coriolis equations in $$ \dot{H}^{\frac{1}{2 } }$$

    Masahiro Ikeda, Leonardo Kosloff, César J. Niche, Gabriela Planas

    Journal of Evolution Equations Vol. 24 No. 3 2024/06/29 Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC
  40. Koopman spectrum nonlinear regulator and provably efficient online learning

    Motoya Ohnishi, Isao Ishikawa, Kendall, Lowrey, Masahiro Ikeda, Sham Kakade, Yoshinobu Kawahara

    Transactions on Machine Learning Research 2024/06 Research paper (scientific journal)

  41. Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph

    Masaru Hamano, Masahiro Ikeda, Takahisa Inui, Ikkei Shimizu

    Partial Differential Equations and Applications Vol. 5 No. 1 2024/02/26 Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC
  42. Blow-up Solutions to Nonlinear Schrödinger Equation with a Potential

    Masaru Hamano, Masahiro Ikeda

    Schrödinger Equation - Fundamentals Aspects and Potential Applications 2024/01/10 Part of collection (book)

    Publisher: IntechOpen
  43. Global Universality of the Two-Layer Neural Network with the k -Rectified Linear Unit

    Naoya Hatano, Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano

    Journal of Function Spaces Vol. 2024 2024 Research paper (scientific journal)

  44. Blow-up solutions for non-scale-invariant nonlinear Schr\"odinger equation in one dimension

    Masaru Hamano, Masahiro Ikeda, Shuji Machihara

    Vol. 16 No. 1 p. 71-83 2024 Research paper (scientific journal)

  45. Hilbert C*-Module for Analyzing Structured Data

    Yuka Hashimoto, Fuyuta Komura, Masahiro Ikeda

    Matrix and Operator Equations and Applications p. 633-659 2023/05/19 Part of collection (book)

    Publisher: Springer Nature Switzerland
  46. Stability and instability of radial standing waves to NLKG equation with an inverse-square potential

    Masaru Hamano, Masahiro Ikeda

    Nonlinear Differential Equations and Applications NoDEA Vol. 30 No. 3 2023/03/14 Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC
  47. Blow-up and lifespan estimates for solutions to the weakly coupled system of nonlinear damped wave equations outside a ball

    Tuan Anh Dao, Masahiro Ikeda

    Journal of Evolution Equations Vol. 23 No. 1 2023/02/28 Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC
  48. Nonlinear evolution equation associated with hypergraph Laplacian

    Masahiro Ikeda, Shun Uchida

    Mathematical Methods in the Applied Sciences Vol. 46 No. 8 p. 9463-9476 2023/01/27 Research paper (scientific journal)

    Publisher: Wiley
  49. Universal approximation property of invertible neural networks

    Isao Ishikawa, Takeshi Teshima, Koichi Tojo, Kenta Oono, Masahiro Ikeda, Masashi Sugiyama

    Journal of Machine Learning Research Vol. 24 p. 1-68 2023

  50. Koopman and Perron–Frobenius operators on reproducing kernel Banach spaces

    Masahiro Ikeda, Isao Ishikawa, Corbinian Schlosser

    Chaos: An Interdisciplinary Journal of Nonlinear Science 2022/12 Research paper (scientific journal)

  51. Universality of group convolutional neural networks based on ridgelet analysis on groups

    Sho Sonoda, Isao Ishikawa, Masahiro Ikeda

    2022/11 Research paper (international conference proceedings)

  52. Optimal well-posedness and forward self-similar solution for the Hardy–Hénon parabolic equation in critical weighted Lebesgue spaces

    Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi

    Nonlinear Analysis Vol. 222 p. 112931-112931 2022/09 Research paper (scientific journal)

    Publisher: Elsevier BV
  53. Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass

    Masahiro Ikeda, Ziheng Tu, Kyouhei Wakasa

    Evolution Equations and Control Theory Vol. 11 No. 2 p. 515-536 2022/04 Research paper (scientific journal)

  54. Equivalence of conditions on initial data below the ground state to NLS with a repulsive inverse power potential

    Masaru Hamano, Masahiro Ikeda

    Journal of Mathematical Physics Vol. 63 No. 3 p. 031509-031509 2022/03/01 Research paper (scientific journal)

    Publisher: AIP Publishing
  55. Fully-Connected Network on Noncompact Symmetric Space and Ridgelet Transform based on Helgason-Fourier Analysis.

    Sho Sonoda, Isao Ishikawa, Masahiro Ikeda

    ICML p. 20405-20422 2022 Research paper (international conference proceedings)

  56. Heaviside function as an activation function

    Naoya Hatano, Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano

    Journal of applied analysis 2022

  57. Universality of neural networks with a sigmoidal activation or discriminatory function on Banach lattices over the real line

    Naoya Hatano, Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano

    Journal of Mathematical Science 2022

  58. Local well-posedness for the scale-critical semilinear heat equation with a weighted gradient term

    Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi

    Advances in Harmonic Analysis and Partial Differential Equations 2022 Research paper (scientific journal)

  59. On the Cauchy problem for a class of semilinear second order evolution equations with fractional Laplacian and damping

    Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi

    Nonlinear Differential Equations and Applications NoDEA Vol. 28 No. 6 2021/11 Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC
  60. A global universality of two-Layer neural networks with ReLU activations

    Naoya Hatano, Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano

    Journal of Function Spaces Vol. 2021 p. 1-3 2021/09/17 Research paper (scientific journal)

    Publisher: Hindawi Limited
  61. ハイパーグラフ上の熱とそのネットワーク解析への応用

    池田 正弘

    応用数理 Vol. 31 No. 2 p. 48-56 2021/06 Research paper (scientific journal)

  62. Reproducing kernel Hilbert C*-module and kernel mean embeddings

    Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Fuyuta Komura, Takeshi Katsura, Yoshinobu Kawahara

    Journal of Machine Learning Research Vol. 22 p. 1-56 2021

  63. Ridge Regression with Over-parametrized Two-Layer Networks Converge to Ridgelet Spectrum.

    Sho Sonoda, Isao Ishikawa, Masahiro Ikeda

    Proceedings of The 24th International Conference on Artificial Intelligence and Statistics p. 2674-2682 2021 Research paper (international conference proceedings)

    Publisher: PMLR
  64. Boundedness of composition operators on Morrey spaces and weak Morrey spaces

    Naoya Hatano, Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano

    Journal of Inequalities and Applications 2021 Research paper (scientific journal)

  65. Small data blow-up for the weakly coupled system of the generalized Tricomi equation with multiple propagation speed

    Masahiro Ikeda, Jiayun Lin, Ziheng Tu

    Journal of Evolution Equations Vol. 21 No. 4 p. 3765-3796 2021 Research paper (scientific journal)

  66. Small data blow-up for the wave equation with a time-dependent scale invariant damping and a cubic convolution for slowly decaying initial data

    Masahiro Ikeda, Tomoyuki Tanaka, Kyouhei Wakasa

    Nonlinear Analysis Vol. 200 p. 112057-112057 2020/11 Research paper (scientific journal)

  67. Global well-posedness below the ground state for the nonlinear Schrödinger equation with a linear potential

    Masaru Hamano, Masahiro Ikeda

    Proceedings of the American Mathematical Society Vol. 148 No. 12 p. 5193-5207 2020/09/17 Research paper (scientific journal)

    Publisher: American Mathematical Society (AMS)
  68. Global dynamics below the ground state for the focusing Schrödinger equation with a potential

    Masaru Hamano, Masahiro Ikeda

    Journal of Evolution Equations Vol. 20 No. 3 p. 1131-1172 2020/09 Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC
  69. Lifespan of Solutions for a Weakly Coupled System of Semilinear Heat Equations

    Kazumasa FUJIWARA, Masahiro IKEDA, Yuta WAKASUGI

    Tokyo Journal of Mathematics Vol. 43 No. 1 p. 163-180 2020/06/01 Research paper (scientific journal)

  70. On the existence and nonexistence of global solutions for certain semilinear exterior problems with nontrivial Robin boundary conditions

    Masahiro Ikeda, Mohamed Jleli, Bessem Samet

    Journal of Differential Equations Vol. 269 No. 1 p. 563-594 2020/06 Research paper (scientific journal)

    Publisher: Elsevier BV
  71. Scattering for the one-dimensional Klein–Gordon equation with exponential nonlinearity

    Masahiro Ikeda, Takahisa Inui, Mamoru Okamoto

    Journal of Hyperbolic Differential Equations Vol. 17 No. 02 p. 295-354 2020/06 Research paper (scientific journal)

  72. Coupling-based Invertible Neural Networks Are Universal Diffeomorphism Approximators.

    Takeshi Teshima, Isao Ishikawa, Koichi Tojo, Kenta Oono, Masahiro Ikeda, Masashi Sugiyama

    Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020(NeurIPS) 2020 Research paper (international conference proceedings)

  73. Blow-up of solutions to semilinear wave equations with a scaling invariant critical damping

    Masahiro Ikeda

    The Role of Metrics in the Theory of Partial Differential Equations 2020 Research paper (international conference proceedings)

    Publisher: Mathematical Society of Japan
  74. Characterization of the Ground State to the Intercritical NLS with a Linear Potential by the Virial Functional

    Masaru Hamano, Masahiro Ikeda

    Trends in Mathematics p. 279-307 2020 Part of collection (book)

    Publisher: Springer International Publishing
  75. Krylov Subspace Method for Nonlinear Dynamical Systems with Random Noise.

    Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Yoichi Matsuo, Yoshinobu Kawahara

    Journal of Machine Learning Research Vol. 21 p. 172-29 2020 Research paper (scientific journal)

  76. Hypergraph Clustering Based on PageRank.

    Yuuki Takai, Atsushi Miyauchi 0001, Masahiro Ikeda, Yuichi Yoshida

    Proceedings of the 25th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining (KDD) p. 1970-1978 2020 Research paper (international conference proceedings)

    Publisher: ACM
  77. Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case

    Masahiro Ikeda, Yuta Wakasugi

    Proceedings of the American Mathematical Society Vol. 148 No. 1 p. 157-172 2019/09/25 Research paper (scientific journal)

    Publisher: American Mathematical Society (AMS)
  78. Asymptotics for the Schrödinger equation with a repulsive delta potential and a long-range dissipative nonlinearity

    Masahiro Ikeda

    Asymptotic Analysis for Nonlinear Dispersive and Wave Equations p. 13-30 2019 Research paper (international conference proceedings)

    Publisher: Mathematical Society of Japan
  79. Metric on Nonlinear Dynamical Systems with Perron-Frobenius Operators.

    Isao Ishikawa, Keisuke Fujii 0001, Masahiro Ikeda, Yuka Hashimoto, Yoshinobu Kawahara

    Advances in Neural Information Processing Systems 31: Annual Conference on Neural Information Processing Systems 2018, NeurIPS 2018, 3-8 December 2018, Montréal, Canada. p. 2861-2871 2018 Research paper (international conference proceedings)

  80. The Cauchy problem for the nonlinear damped wave equation with slowly decaying data

    Masahiro Ikeda, Takahisa Inui, Yuta Wakasugi

    Nonlinear Differential Equations and Applications NoDEA Vol. 24 No. 2 2017/04 Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC
  81. Blow-up of solutions for weakly coupled system of complex Ginzburg-Landau equations

    Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi

    Electronic Journal of Differential Equations Vol. 2017 p. 1-18 2017 Research paper (scientific journal)

  82. A remark on non-existence results for the semi-linear damped Klein-Gordon equations

    Masahiro Ikeda, Takahisa Inui

    RIMS Kokyuroku Bessatsu p. 11-30 2016 Research paper (international conference proceedings)

  83. Final State Problem for the Dirac-Klein-Gordon Equations in Two Space Dimensions

    Masahiro Ikeda

    Abstract and Applied Analysis Vol. 2013 p. 1-11 2013 Research paper (scientific journal)

    Publisher: Hindawi Limited
  84. Modified scattering operator for the Hartree–Fock equation

    Masahiro Ikeda

    Nonlinear Analysis: Theory, Methods & Applications Vol. 75 No. 1 p. 211-225 2012/01 Research paper (scientific journal)

    Publisher: Elsevier BV
  85. A remark on the algebraic normal form method applied to the Dirac-Klein-Gordon system in two space dimensions

    Masahiro Ikeda, Akihiro Shimomura, Hideaki Sunagawa

    RIMS Kokyuroku Bessatsu Vol. 33 p. 87-96 2012 Research paper (international conference proceedings)

    Publisher: Kyoto University
  86. Wave operator for the system of the Dirac-Klein-Gordon equations

    Nakao Hayashi, Masahiro Ikeda, Pavel I. Naumkin

    Mathematical Methods in the Applied Sciences Vol. 34 No. 8 p. 896-910 2011/05/30 Research paper (scientific journal)

    Publisher: Wiley

Misc. 76

  1. Boundedness of composition operators from Lorentz spaces to Orlicz spaces

    Naoya Hatano, Masahiro Ikeda, Ryota Kawasumi

    2024/04/28

  2. Smoothing estimate for the heat semigroup with a homogeneous weight on Morrey spaces

    Naoya Hatano, Masahiro Ikeda

    2024/04/22

  3. Boundedness of composition operator in Orlicz-Morrey spaces

    Masahiro Ikeda, Isao Ishikawa, Ryota Kawasumi

    2024/03/14

  4. Koopman operators with intrinsic observables in rigged reproducing kernel Hilbert spaces

    Isao Ishikawa, Yuka Hashimoto, Masahiro Ikeda, Yoshinobu Kawahara

    2024/03/04

  5. A unified Fourier slice method to derive ridgelet transform for a variety of depth-2 neural networks

    Sho Sonoda, Isao Ishikawa, Masahiro Ikeda

    2024/02/25

  6. $C^*$-Algebraic Machine Learning: Moving in a New Direction

    Yuka Hashimoto, Masahiro Ikeda, Hachem Kadri

    2024/02/04

  7. Weighted Trudinger-Moser inequalities in the subcritical Sobolev spaces and their applications

    Masahiro Ikeda, Megumi Sano, Koichi Taniguchi

    2024/01/27

  8. Upper bound of the lifespan of the solution to the nonlinear fractional wave equations with time-dependent damping

    Jiayun Lin, Masahiro Ikeda

    2024/01/19

  9. Joint Group Invariant Functions on Data-Parameter Domain Induce Universal Neural Networks

    Sho Sonoda, Hideyuki Ishi, Isao Ishikawa, Masahiro Ikeda

    2023/10/05

  10. Deep Ridgelet Transform: Voice with Koopman Operator Proves Universality of Formal Deep Networks

    Sho Sonoda, Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda

    2023/10/05

  11. Koopman spectral analysis of skew-product dynamics on Hilbert $C^*$-modules

    Dimitrios Giannakis, Yuka Hashimoto, Masahiro Ikeda, Isao Ishikawa, Joanna Slawinska

    2023/07/18

  12. Variational problems for the system of nonlinear Schrödinger equations with derivative nonlinearities

    Hiroyuki Hirayama, Masahiro Ikeda

    2023/07/03

  13. Deep Learning with Kernels through RKHM and the Perron-Frobenius Operator

    Yuka Hashimoto, Masahiro Ikeda, Hachem Kadri

    2023/05/23

  14. Lifespan estimates for semilinear damped wave equation in a two-dimensional exterior domain

    Masahiro Ikeda, Motohiro Sobajima, Koichi Taniguchi, Yuta Wakasugi

    2023/05/09

  15. Scattering and blow-up dichotomy of the energy-critical nonlinear Schrödinger equation with the inverse-square potential

    Masaru Hamano, Masahiro Ikeda

    2023/02/10

  16. Boundedness of composition operators on higher order Besov spaces in one dimension

    Masahiro Ikeda, Isao Ishikawa, Koichi Taniguchi

    2023/02/02

  17. Unconditional uniqueness and non-uniqueness for Hardy-Hénon parabolic equations

    Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi, Slim Tayachi

    2023/01/02

  18. Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph

    Masaru Hamano, Masahiro Ikeda, Takahisa Inui, Ikkei Shimizu

    2022/12/13

  19. Heat equation on the hypergraph containing vertices with given data

    Takeshi Fukao, Masahiro Ikeda, Shun Uchida

    2022/12/11

  20. Learning in RKHM: a $C^*$-Algebraic Twist for Kernel Machines

    Yuka Hashimoto, Masahiro Ikeda, Hachem Kadri

    2022/10/21

  21. Data-driven operator-theoretic analysis of weak interactions in synchronized network dynamics

    Yuka Hashimoto, Masahiro Ikeda, Hiroya Nakao, Yoshinobu Kawahara

    2022/08/12

  22. Algebraic decay rates for 3D Navier-Stokes and Navier-Stokes-Coriolis equations in $ \dot{H}^{\frac{1}{2 } }$

    Masahiro Ikeda, Leonardo Kosloff, César J. Niche, Gabriela Planas

    2022/06/19

  23. Dynamic Structure Estimation from Bandit Feedback

    Motoya Ohnishi, Isao Ishikawa, Yuko Kuroki, Masahiro Ikeda

    2022/06/02

  24. Universality of Group Convolutional Neural Networks Based on Ridgelet Analysis on Groups

    Sho Sonoda, Isao Ishikawa, Masahiro Ikeda

    2022/05/30

  25. Universal approximation property of invertible neural networks

    Isao Ishikawa, Takeshi Teshima, Koichi Tojo, Kenta Oono, Masahiro Ikeda, Masashi Sugiyama

    2022/04/15

  26. Large time behavior of solutions to the Cauchy problem for the BBM-Burgers equation

    Ikki Fukuda, Masahiro Ikeda

    2022/04/03

  27. Koopman and Perron-Frobenius Operators on reproducing kernel Banach spaces

    Masahiro Ikeda, Isao Ishikawa, Corbinian Schlosser

    2022/03/23

  28. Fully-Connected Network on Noncompact Symmetric Space and Ridgelet Transform based on Helgason-Fourier Analysis

    Sho Sonoda, Isao Ishikawa, Masahiro Ikeda

    2022/03/03

  29. Blow-up solutions for non-scale-invariant nonlinear Schrödinger equation in one dimension

    Masaru Hamano, Masahiro Ikeda, Shuji Machihara

    2022/02/28

  30. Mass-energy threshold dynamics for the focusing NLS with a repulsive inverse-power potential

    Alex H. Ardila, Masaru Hamano, Masahiro Ikeda

    2022/02/23

  31. Coarse Ricci curvature of hypergraphs and its generalization

    MasaHiro Ikeda, Yu Kitabeppu, Yuuki Takai

    2021/02/01

  32. Local community and weak ties detection using random walk on hypergraph.

    岡亮, 高井勇輝, 松本直己, 池田正弘, 池田正弘, 金子晋丈, 金子晋丈

    電子情報通信学会技術研究報告(Web) Vol. 120 No. 311(IN2020 41-53) 2021

  33. Reproducing kernel Hilbert C*-module and kernel mean embeddings.

    Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Fuyuta Komura, Takeshi Katsura, Yoshinobu Kawahara

    CoRR Vol. abs/2101.11410 2021

  34. Universal Approximation Property of Neural Ordinary Differential Equations

    Takeshi Teshima, Koichi Tojo, Masahiro Ikeda, Isao Ishikawa, Kenta Oono

    2020/12/04

  35. Small data blow-up for the weakly coupled system of the generalized Tricomi equations with multiple propagation speeds

    Masahiro Ikeda, Jiayun Lin, Ziheng Tu

    2020/10/07

  36. Well-posedness and global dynamics for the critical Hardy-Sobolev parabolic equation

    Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi

    2020/09/15

  37. Boundedness of composition operators on Morrey spaces and weak Morrey spaces

    Naoya Hatano, Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano

    2020/08/28

  38. Well-posedness for the fourth-order Schrödinger equation with third order derivative nonlinearities

    Hiroyuki Hirayama, Masahiro Ikeda, Tomoyuki Tanaka

    2020/04/07

  39. Critical exponent for the wave equation with a time-dependent scale invariant damping and a cubic convolution

    Masahiro Ikeda, Tomoyuki Tanaka, Kyouhei Wakasa

    2020/03/23

  40. The Cauchy problem of the semilinear second order evolution equation with fractional Laplacian and damping

    Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi

    2020/03/20

  41. Small data blow-up for the wave equation with a time-dependent scale invariant damping and a cubic convolution for slowly decaying initial data

    Masahiro Ikeda, Tomoyuki Tanaka, Kyouhei Wakasa

    2020/01/22

  42. Gradient Descent Converges to Ridgelet Spectrum.

    Sho Sonoda, Isao Ishikawa, Masahiro Ikeda

    CoRR Vol. abs/2007.03441 2020

  43. Coupling-based Invertible Neural Networks Are Universal Diffeomorphism Approximators.

    Takeshi Teshima, Isao Ishikawa, Koichi Tojo, Kenta Oono, Masahiro Ikeda, Masashi Sugiyama

    CoRR Vol. abs/2006.11469 2020

  44. Hypergraph Clustering Based on PageRank.

    Yuuki Takai, Atsushi Miyauchi 0001, Masahiro Ikeda, Yuichi Yoshida

    CoRR Vol. abs/2006.08302 2020

  45. Kernel Mean Embeddings of Von Neumann-Algebra-Valued Measures.

    Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Fuyuta Komura, Yoshinobu Kawahara

    CoRR Vol. abs/2007.14698 2020

  46. Analysis via Orthonormal Systems in Reproducing Kernel Hilbert C*-Modules and Applications.

    Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Fuyuta Komura, Takeshi Katsura, Yoshinobu Kawahara

    CoRR Vol. abs/2003.00738 2020

  47. A global universality of two-layer neural networks with ReLU activations.

    Naoya Hatano, Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano

    CoRR Vol. abs/2011.10225 2020

  48. Composition operators on reproducing kernel Hilbert spaces with analytic positive definite functions

    Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano

    2019/11/27 Internal/External technical report, pre-print, etc.

  49. Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass

    Masahiro Ikeda, Ziheng Tu, Kyouhei Wakasa

    2019/04/21 Internal/External technical report, pre-print, etc.

  50. Global dynamics below the ground state for the focusing Schrödinger equation with a potential

    Masaru Hamano, Masahiro Ikeda

    2019/03/09 Internal/External technical report, pre-print, etc.

  51. Scattering for the one-dimensional Klein-Gordon equation with exponential nonlinearity

    Masahiro Ikeda, Takahisa Inui, Mamoru Okamoto

    JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS Vol. 17 No. 2 p. 295-354 2019/02/25 Internal/External technical report, pre-print, etc.

  52. Global well-posedness, dissipation and blow up for semilinear heat equations in energy spaces associated with self-adjoint operators

    Masahiro Ikeda, Koichi Taniguchi

    2019/02/04 Internal/External technical report, pre-print, etc.

  53. On comparison of dynamical systems via Perron‐Frobenius operators on reproducing kernel Hilbert spaces

    石川勲, 石川勲, 藤井慶輔, 池田正弘, 池田正弘, 橋本悠香, 河原吉伸, 河原吉伸

    電子情報通信学会技術研究報告 Vol. 118 No. 284(IBISML2018 44-104)(Web) 2018/10/29

  54. Sharp lifespan estimates of blowup solutions to semilinear wave equations with time-dependent effective damping

    Masahiro Ikeda, Motohiro Sobajima, Yuta Wakasugi

    2018/08/19 Internal/External technical report, pre-print, etc.

  55. Test function method for blow-up phenomena of semilinear wave equations and their weakly coupled systems

    Masahiro Ikeda, Motohiro Sobajima, Kyouhei Wakasa

    2018/07/11 Internal/External technical report, pre-print, etc.

  56. The global optimum of shallow neural network is attained by ridgelet transform

    Sho Sonoda, Isao Ishikawa, Masahiro Ikeda, Kei Hagihara, Yoshihiro Sawano, Takuo Matsubara, Noboru Murata

    2018/05/19 Internal/External technical report, pre-print, etc.

  57. Revisit on the blow-up rate of solutions for a weakly coupled system of semilinear heat equations in the subcritical case

    Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi

    2017/12/19 Internal/External technical report, pre-print, etc.

  58. Remark on upper bound for lifespan of solutions to semilinear evolution equations in a two-dimensional exterior domain

    Masahiro Ikeda, Motohiro Sobajima

    2017/11/03 Internal/External technical report, pre-print, etc.

  59. Upper bound for lifespan of solutions to certain semilinear parabolic, dispersive and hyperbolic equations via a unified test function method

    Masahiro Ikeda, Motohiro Sobajima

    2017/10/19 Internal/External technical report, pre-print, etc.

  60. $L^p$-$L^q$ estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data

    Masahiro Ikeda, Takahisa Inui, Mamoru Okamoto, Yuta Wakasugi

    2017/10/18 Internal/External technical report, pre-print, etc.

  61. $L^p$-$L^q$ estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data

    Masahiro Ikeda, Takahisa Inui, Mamoru Okamoto, Yuta Wakasugi

    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS Vol. 18 No. 4 p. 1967-2008 2017/10/18 Internal/External technical report, pre-print, etc.

  62. Upper bound for lifespan of solutions to certain semilinear parabolic, dispersive and hyperbolic equations via a unified test function method

    Masahiro Ikeda, Motohiro Sobajima

    2017/10/18 Internal/External technical report, pre-print, etc.

  63. Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data

    Masahiro Ikeda, Motohiro Sobajima

    2017/09/13 Internal/External technical report, pre-print, etc.

  64. Life-span of blowup solutions to semilinear wave equation with space-dependent critical damping

    Masahiro Ikeda, Motohiro Sobajima

    2017/09/13 Internal/External technical report, pre-print, etc.

  65. Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case

    Masahiro Ikeda, Yuta Wakasugi

    2017/08/27 Internal/External technical report, pre-print, etc.

  66. Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case

    Masahiro Ikeda, Yuta Wakasugi

    2017/08/27 Internal/External technical report, pre-print, etc.

  67. Blow-up of solutions for weakly coupled systems of complex Ginzburg-Landau equations

    Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi

    Electron. J. Differential Equations, 2017 (2017), No. 196, 1-18 2017/07/22 Internal/External technical report, pre-print, etc.

  68. The sharp estimate of the lifespan for the semilinear wave equation with time-dependent damping

    Masahiro Ikeda, Takahisa Inui

    2017/07/13 Internal/External technical report, pre-print, etc.

  69. The Cauchy problem for the nonlinear damped wave equation with slowly decaying data

    Masahiro Ikeda, Takahisa Inui, Yuta Wakasugi

    Nonlinear Differential Equations and Applications NoDEA Vol. 24 No. 2 2017/04

  70. Estimates of lifespan and blow-up rates for the wave equation with a time-dependent damping and a power-type nonlinearity

    Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi

    2016/09/05 Internal/External technical report, pre-print, etc.

  71. Global Dynamics below the standing waves for the focusing semilinear Schrödinger equation with a repulsive Dirac delta potential

    Masahiro Ikeda, Takahisa Inui

    ANALYSIS & PDE Vol. 10 No. 2 p. 481-512 2016/06/09 Internal/External technical report, pre-print, etc.

  72. Null structure in a system of quadratic derivative nonlinear Schrödinger equations

    Masahiro Ikeda, Soichiro Katayama, Hideaki Sunagawa

    Annales Henri Poincar\'e, vol.12 (2015), no.2, 535-567 2013/05/16 Internal/External technical report, pre-print, etc.

  73. A note on the lifespan of solutions to the semilinear damped wave equation

    Masahiro Ikeda, Yuta Wakasugi

    Proc. Amer. Math. Soc. 143 (2015), no. 1, 163--171 2012/12/08 Internal/External technical report, pre-print, etc.

  74. Lifespan of solutions for the nonlinear Schrödinger equation without gauge invariance

    Masahiro Ikeda

    2012/11/29 Internal/External technical report, pre-print, etc.

  75. A remark on the algebraic normal form method applied to the Dirac-Klein-Gordon system in two space dimensions

    Masahiro Ikeda, Akihiro Shimomura, Hideaki Sunagawa

    2011/11/01 Internal/External technical report, pre-print, etc.

  76. Small data blow-up of L^{2}-solution for the nonlinear Schrödinger equation without gauge invariance

    Masahiro Ikeda, Yuta Wakasugi

    2011/11/01 Internal/External technical report, pre-print, etc.

Presentations 189

  1. 熱やページランクに基づくハイパーグラフのクラスタリング

    池田正弘

    第6回理研AIP数学系合同セミナー 2025/02

  2. Variational problems for the system of nonlinear Schrödinger equations with derivative nonlinearities

    池田正弘

    第19回浜松偏微分方程式研究集会 2024/12

  3. 同時群同変モデルの表現論的な構成的普遍近似定理

    園田 翔, 橋本 悠香, 石川 勲, 池田 正弘

    第27回情報論的学習理論ワークショップ(IBIS2024) 2024/11

  4. 連続関数に対するNeural ODEのOrlicz universal approximation propertyについて

    川澄 亮太, 池田 正弘

    第27回情報論的学習理論ワークショップ(IBIS2024) 2024/11

  5. Optimal control problem of ODE governed by hypergraph Laplacian

    深尾武史, 池田正弘, 内田俊

    2024年度日本数学会秋季総合分科会 2024/09

  6. Smoothing estimate for the heat semigroup with a homogeneous weight on Morrey spaces

    波多野修也, 池田正弘

    2024年度日本数学会秋季総合分科会 2024/09

  7. Boundedness of composition operators from Lorentz spaces to Orlicz spaces

    波多野修也, 池田正弘, 川澄亮太

    2024年度日本数学会秋季総合分科会 2024/09

  8. On stability and instability of standing waves for 2D-nonlinear Schrödinger equations with point interaction

    Masahiro Ikeda

    INDAM Workshop on Future Perspectives on Linear and Nonlinear Modelling of Contact-Type Perturbations 2024/08

  9. C*-Algebraic Machine Learning - Moving in a New Direction

    Yuka Hashimoto, Masahiro Ikeda, Kadri Hachem

    The 41st International Conference on Machine Learning (ICML) 2024/07

  10. On stability and instability of standing waves for 2D-nonlinear Schrödinger equations with point interaction

    Masahiro Ikeda

    First Workshop on Singular Interactions and Effective Models in Mathematical Physics 2024/07

  11. A characterization of boundedness of composition operator on Orlicz-Morrey spaces

    池田正弘, 石川勲, 川澄亮太

    日本数学会・2023年度年会 2024/03

  12. An approximation of evolution equation with clique expansion of hypergraph Laplacian

    池田正弘, 内田俊, 深尾武史

    日本数学会・2023年度年会 2024/03

  13. Deep ridgelet transform: Voice with Koopman operator constructively proves universality of formal deep networks

    Sho Sonoda, Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda

    NeurIPS 2023 Workshop: Symmetry and Geometry in Neural Representations (NeurReps) 2023/12

  14. Joint group invariant functions on data-parameter domain induce universal neural networks

    NeurIPS, Workshop: Symmetry, Geometry in Neural Representations (NeurReps

    2023/12

  15. Deep Learning with Kernels through RKHM and the Perron-Frobenius Operator

    Yuka Hashimoto, Masahiro Ikeda, Kadri Hachem

    Thirty-seventh Conference on Neural Information Processing Systems (NeurIPS2023) 2023/12

  16. JetDMD: Rigged再生核Hilbert空間におけるデータ駆動型Koopman固有展開

    石川勲, 橋本悠香, 池田正弘, 河原吉伸

    第26 回情報論的学習理論ワークショップ (IBIS2023) 2023/10

  17. Koopman作用素表現を用いた深層ニューラルネットのリッジレット変換

    園田翔, 橋本悠香, 石川勲, 池田正弘

    第26 回情報論的学習理論ワークショップ(IBIS2023) 2023/10

  18. ニューラルネットのパラメータに作用する双対群と普遍性定理の表現論的証明

    園田翔, 伊師英之, 石川勲, 池田正弘

    第26 回情報論的学習理論ワークショップ (IBIS2023) 2023/10

  19. Lp −Lq estimate for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data

    Masahiro Ikeda

    Seminar, Hanoi University of Science and Technology 2023/09

  20. 2次元外部領域における臨界型半線型消散型波動方程式について

    池田正弘, 側島基宏, 谷口晃一, 若杉勇太

    2023年度日本数学会秋季総合分科会 2023/09

  21. Boundedness of composition operators on Orlicz-Morrey spaces

    池田正弘, 石川勲, 川澄亮太

    2023年度日本数学会秋季総合分科会 2023/09

  22. Scattering and blow-up solutions to energy critical NLS with an inverse square potential

    浜野大, 池田正弘

    2023 年度日本数学会秋季総合分科会 2023/09

  23. Heat on hypergraph and its application to network analysis

    Masahiro Ikeda

    ICIAM 2023 Tokyo 2023/08

  24. Continuity of Koopman operators on reproducing kernel Hilbert spaces with analytic positive definite functions

    Masahiro Ikeda

    Mathematical Foundations of Machine Learning 2023/05

  25. Learning in RKHM: a C*-Algebraic Twist for Kernel Machines

    Yuka Hashimoto, Masahiro Ikeda, Kadri Hachem

    The 26th International Conference on Artificial Intelligence and Statistics (AISTATS) 2023/04

  26. Besov 空間上の合成作用素の有界性

    谷口晃一, 池田正弘, 石川勲

    日本数学会・ 2023 年度年会 2023/03

  27. Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph

    浜野大, 池田正弘, 戌亥隆恭, 清水一慶

    日本数学会・2023 年度年会 2023/03

  28. 微分型の非線形項を持つ非線形シュレディンガー方程式系の基底状態の存在と安定性について

    平山浩之, 池田正弘

    日本数学会・2023 年度年会 2023/03

  29. Hardy-Henon 型半線型熱方程式の解 の無条件一意性と非一意性

    千頭昇, 池田正弘, 谷口晃一, Slim Tayachi

    日本数学会・2023 年度年会 2023/03

  30. Universality of group convolutional neural networks based on ridgelet analysis on groups

    Sho Sonoda, Isao Ishikawa, Masahiro Ikeda

    Thirty-sixth Conference on Neural Information Processing Systems (NeurIPS2022) 2022/12

  31. Lp −Lq estimate for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data

    Masahiro Ikeda

    Workshop on Evolution Equations 2022/10

  32. Heat on the hypergraph containing vertices with given data

    深尾 武史, 池田 正弘, 内田 俊

    日本数学会・2022年度秋季総合分科会 2022/09

  33. BBM--Burgersの初期値問題の解の漸近挙動

    福田 一貴, 池田 正弘

    日本数学会・2022年度秋季総合分科会 2022/09

  34. On global existence and asymptotic behavior for nonlinear damped wave equations on measure spaces

    2022/09

  35. Global dynamics of Mass-Energy threshold for NLS with an inverse-power potential

    Alex Hernandez Ardila, 浜野 大, 池田 正弘

    日本数学会・2022年度秋季総合分科会 2022/09

  36. On stability and instability of standing waves for 2d- nonlinear Schrödinger equations with point interaction

    Masahiro Ikeda

    Trials in Wave Turbulance: from random waves to kinetic equations 2022/09

  37. Mass-energy threshold dynamics for the focusing NLS with inverse-power potential

    Masahiro Ikeda

    2022/09

  38. On stability and instability of standing waves for 2d- nonlinear Schrödinger equations with point interaction

    Masahiro Ikeda

    Mathematical Analysis of Nonlinear Dispersive and Wave Equations -In honor of Professor Tohru Ozawa's 60th birthday 2022/08

  39. 逆冪乗型ポテンシャルをもつ非線形 シュレディンガー方程式の爆発解について

    浜野 大, 池田 正弘

    日本数学会・ 2022年度年会 2022/03

  40. 点相互作用を持つ2次元非線形シュレディンガー方程式の定在波解の安定性 と不安定

    深谷 法良, Vladimir. Georgiev, 池田 正弘

    日本数学会・2022年度年会 2022/03

  41. Heat on hypergrapn and its application to network analysis

    Masahiro Ikeda

    SIAM Conference on Analysis of Partial Differential Equations (PD22) 2022/03

  42. 群畳み込みニューラルネットに対するリッジレット変換

    園田 翔, 石川勲, 池田 正弘

    第24回情報論的学習理論, ワークショップ(IBIS2021) 2021/11

  43. 可逆ニューラルネットのSobolev空間における普遍性について

    手嶋毅志, 石川勲, 東條広一, 大野健太, 池田正弘, 杉山将

    第24回情報論的学習理論, ワークショップ(IBIS2021) 2021/11

  44. RKHMの関数データへの応用, 第24回情報論的学習理論

    橋本 悠香, 石川勲, 池田 正弘, 紅村冬大, 勝良健史, 河原吉伸

    ワークショップ(IBIS2021) 2021/11

  45. Nonlinear evolution equation associated with Hypergraph Laplacian

    池田 正弘, 内田 俊

    日本数学会・2021年度秋季総合分科会 2021/09

  46. 長距離型ポテンシャルをもつ非線形シュレディンガー方程式の散乱解について

    浜野 大, 池田 正弘

    日本数学会・2021年度秋季総合分科会 2021/09

  47. Optimal well-posedness of Hardy-Henon parabolic equation

    千頭 昇, 池田 正弘, 谷口晃一

    日本数学会・2021年度秋季総合分科会 2021/09

  48. ハイパーグラフ上の熱とそのネットワーク解析への応用

    池田 正弘

    微分方程式とデータサイエンス研究会 2021/09

  49. Gradient descent converges to ridgelet spectrum

    Sho Sonoda, Isao Ishikawa, Ikeda Masahiro

    the 24th International Conference on Artificial Intelligence and Statistics(AISTATS) 2021/04

  50. A global universality of two-layer neural networks with ReLU activations

    波多野 修也, 池田 正弘, 石川 勲, 澤野 嘉宏

    日本数学会・2021年度年会 2021/03

  51. 逆2乗ポテンシャルを持つ非線形クライン・ゴルドン 方程式の定在波解の不安定性

    浜野 大, 池田 正弘

    日本数学会・2021年度年会 2021/03

  52. ランダムウォークを用いたハイパーグラフにおけるローカルコミュニティと 弱い紐帯の抽出

    岡 亮, 高井 勇輝, 松本 直己, 池田 正弘, 金子 晋丈

    電子情報通信学会(IN) 2021/01

  53. 非線形シュレディンガー方程式の定常問題と時間大域挙動

    池田 正弘

    愛媛解析セミナー 2021/01

  54. Coupling-based invertible neural networks are universal diffeomorphism approximator

    Takeshi Teshima, Isao Ishikawa, Koichi Tojo, Kenta Oono, Masahiro Ikeda, Masashi Sugiyama

    Conference on Neural Information Processing Systems (NeurIPS2018) 2020/12

  55. Universal approximation property of neural ordinary differential equations

    Takeshi Teshima, Koichi Tojo, Masahiro Ikeda, Isao Ishikawa, Kenta Oono

    NeurIPS 2020 Workshop: Differential Geometry meets Deep Learning 2020/12

  56. オーバーパラメトライズされた有限ニューラルネット の最適解

    園田 翔, 石川 勲, 池田 正弘

    第23回情報論的学習理論, ワークショップ(IBIS2020) 2020/11

  57. Reproducing kernel Hilbert C*-moduleによる多変量データの解析

    橋本 悠香, 石川 勲, 池田 正弘, 紅村 冬大, 勝良 健史, 河原 吉伸

    第23回情報論的学習理論 ワークショップ(IBIS2020) 2020/11

  58. カップリングに基づく 可逆神経回路網は微分同相写像の万能近似機である

    手嶋 毅志, 石川 勲, 東條 広一, 大野 健太, 池田 正弘, 杉山 将

    第23回情報論的学習理論 ワークショップ(IBIS2020) 2020/11

  59. 積分幾何学に基づくニューラルネットの新しい再生公式

    園田 翔, 石川 勲, 池田 正弘

    第23回情報論的学習理論, ワークショップ(IBIS2020) 2020/11

  60. Hypergraph Clustering via PageRank

    高井 勇輝, 宮内 敦史, 池田 正弘, 吉田 悠一

    第23回情報論的学習理論, ワークショップ(IBIS2020) 2020/11

  61. Hardy-H\'enon型半線型熱方程式 の解の挙動

    千頭 昇, 池田 正弘, 谷口 晃一

    日本数学会・2020年度秋季総合分科会 2020/09

  62. 逆冪乗型ポテンシャルを持つ非線形シュレディンガー 方程式の初期値の条件の同値性について

    浜野 大, 池田 正弘

    日本数学会・2020年度秋季総合分科会 2020/09

  63. Well-posedness of the fourth-order Schrödinger equation with derivative nonlinearities

    平山 浩之, 池田 正弘, 田中 智之

    日本数学会・2020年度秋季総合分科会 2020/09

  64. モレー空間における合成作用素 の有界性について

    波多野 修也, 池田 正弘, 石川 勲, 澤野 嘉宏

    日本数学会・2020年度秋季総合分科会 2020/09

  65. 解析的な正定値関数に付随する再生核 Hilbert空間上の合成作用素の有界性について

    池田 正弘, 石川 勲, 澤野 嘉宏

    日本数学会・2020年度秋季総合分科会 2020/09

  66. 非線形力学系から生成される時系列データ間の作用素論的 側面からの研究

    池田 正弘

    第74回 京都大学応用数学セミナー(KUAMS) 2020/08

  67. ポテンシャル項を持つ非線形シュレディンガー 方程式の定常問題について

    浜野 大, 池田 正弘

    日本数学会・2020年度年会 2020/03

  68. Global well-posedness for the wave equation with a time-dependent scale invariant damping and a cubic convolution

    池田 正弘, 田中 智之, 若狭 恭平

    日本数学会・2020年度年会 2020/03

  69. Hypergraph Clustering Based on PageRank

    Yuuki Takai, Atsushi Miyauchi, Masahiro Ikeda and, Yuichi Yoshida

    26nd ACM SIGKDD Conference on Knowledge Discovery and Data mining (KDD) 2020

  70. ReLU深層ニューラルネットワークの一般化されたBesov空間での関数 近似能力について

    谷口 晃一, 池田 正弘, 園田 翔, 大野 健太, 鈴木 大慈

    第22回情報論的学習理論 ワークショップ(IBIS2019) 2019/11

  71. ノイズ付き非線形力学系のためのKrylov部分空間法

    橋本 悠香, 石川 勲, 池田 正弘, 松尾 洋一, 河原 吉伸

    第22回情報論的学習理論ワークショップ(IBIS2019) 2019/11

  72. ランダム力学系の距離について

    石川 勲, 田中 章詞, 池田 正弘, 河原 吉伸

    第22回情報論的学習理論 ワークショップ(IBIS2019) 2019/11

  73. 再生核ヒルベルト空間上のPerron-Frobenius作用素を 用いた非線形力学系間の比較について

    池田 正弘

    京都大学NLPDEセミナー 2019/11

  74. Blow-up phenomena of semi linear wave equations and their weakly coupled system

    Masahiro Ikeda

    Fall Southeastern Sectional Meeting 2019/11

  75. Test function method for blow-up phenomena of semi linear wave equations and their weakly coupled system

    Masahiro Ikeda

    2019 Workshop on Geometry and Nonlinear Partial Differential Equations 2019/11

  76. Dissipation and blow-up for semi linear heat equations in general energy spaces

    池田 正弘, 谷口 晃一

    日本数学会・2019年度秋季総合分科会 2019/09

  77. Finding Cheeger Cuts in Hypergraphs via Heat Equation

    Masahiro Ikeda

    Technishen Universityät Berlin 2019/09

  78. Exact Recovery of Latent Convex Tensor Decomposition under Reshuffling

    Masahiro Ikeda, Isao Ishikawa, Chao Li, Xiao-Yang Liu, Qibin Zhao, Ning Zheng

    Workshop on low-rank models and application(LRMA) 2019/09

  79. Blow-up phenomena of semi linear wave equations and their weakly coupled system

    Masahiro Ikeda

    12th ISAAC Congress 2019/08

  80. Low-regularity well-posedness of the fourth-order Schrödinger equation with derivative nonlinearities

    Masahiro Ikeda

    Seminars, Peking University 2019/08

  81. Finding Cheeger Cuts in Hypergraphs via Heat Equation

    Ikeda Masahiro

    Taiwan Machine Learning Workshop in June 2019/06

  82. Finding Cheeger Cuts in Hypergraphs via Heat Equation

    Masahiro Ikeda

    The 14th SIAM East Asian Section Conference 2019/06

  83. Well-posedness of the fourth-order Schr ödinger equation with derivative nonlinearities

    Masahiro Ikeda

    Colloquium 2019/05

  84. 熱を使ったハイパーグラフにおけるCheegerカットの探索

    高井 勇輝, 池田 正弘

    諸分野のための数学研究会 2019/03

  85. 再生核ヒルベルト空間による力学系間の距離について

    池田 正弘

    科学技術振興機構(JST) 2019/03

  86. ポテンシャルをもつNLSの時間大域挙動について

    浜野 大, 池田 正弘

    日本数学会・2019年度年会 2019/03

  87. 2次の非線形項を持つ非線形Klein-Gordon 方程式系における定在波解の爆発

    池田 正弘, 宮崎 隼人

    日本数学会・2019年度年会 2019/03

  88. On blowup solutions of semi linear wave equation and their weakly coupled system

    池田 正弘, 側島 基宏, 若狭 恭平

    日本数学会・2019年度年会 2019/03

  89. Finding Cheeger Cuts in Hypergraphs via Heat Equation

    Masahiro Ikeda

    The 1st SJTU CS-RIKEN AIP Joint Workshop on Machine Learning and Brain-like intelligence 2019/03

  90. Finding Cheeger Cuts in Hypergraphs via Heat Equation

    Masahiro Ikeda

    The second Korea-Japan Machine Learning Workshop 2019/02

  91. 非線形項に3階の微分を含む4階シュレディンガー 方程式の適切性

    池田 正弘

    Workshop on nonlinear;dispersive equations;related topics in Tsuyama 2018/12

  92. Metric on Nonlinear Dynamical Systems with Perron-Frobenius Operators

    Isao Ishikawa, Keisuke Fujii, Masahiro Ikeda, Yuka Hashimoto, Yoshinobu Kawahara

    Thirty-second Conference on Neural Information Processing Systems (NeurIPS2018) 2018/12

  93. Well-posedness of fourth-order Schrödinger equation with derivative nonlinearities

    Masahiro Ikeda

    Canadian Mathematical Society Winter Meeting 2018/12

  94. 再生核ヒルベルト空間上のPerron-Frobenius作用素を 用いた力学系間の比較について

    石川 勲, 藤井 慶輔, 池田 正弘, 橋本 悠香, 河原 吉伸

    第21回情報論的学習理論 ワークショップ(IBIS2018) 2018/11

  95. 間変数に依存するスケール臨界な摩擦項を持つ 非線形波動方程式の小さな初期値に対する解の爆発

    池田 正弘

    南大阪セミナー 2018/11

  96. 再生核ヒルベルト空間上のPerron-Frobenius作用素を 用いた力学系間の比較について

    石川 勲, 藤井 慶輔, 池田 正弘, 橋本 悠香, 河原 吉伸

    異分野・異業種研究 交流会2018 2018/11

  97. Finding Cheever Cuts in Hypergraphs via Heat Equation

    池田 正弘, 宮内 敦史, 高井 勇輝, 吉田 悠一

    異分野・異業種研究交流会2018 2018/11

  98. Integral representation of shallow neural network that attains the global minimum

    Sho Sonoda, Isao Ishikawa, Masahiro Ikeda, Kei Hagihara, Yoshihiro Sawano, Takuo Matsubara, Noboru Murata

    The First Japan-Israel Machine Learning Workshop (JIML) 2018/11

  99. Finding Cheeger Cuts in Hypergraphs via Heat Equation

    Masahiro Ikeda, Atsushi Miyauchi, Yuuki Takai, Yuichi Yoshida

    The First Japan-Israel Machine Learning Workshop (JIML) 2018/11

  100. Metric on Nonlinear Dynamical Systems with Perron-Frobenius Operators

    Isao Ishikawa, Keisuke Fujii, Masahiro Ikeda, Yuka Hashimoto, Yoshinobu Kawahara

    The First Japan-Israel Machine Learning Workshop (JIML) 2018/11

  101. Global dynamics below the ground for NLS with a Dirac delta potential in 1d

    Masahiro Ikeda

    Seminar on dynamical systems 2018/10

  102. Global dynamics below the ground for NLS with a Dirac delta potential in 1d

    Masahiro Ikeda

    Analysis Seminar 2018/10

  103. 非線形4階シュレディンガー方程式 の適切性について

    平山浩之, 池田 正弘

    2018年日本数学会秋季総合分科会 2018/09

  104. On a test function method for blowup of solutions to semi linear damped wave equations

    池田 正弘, 側島 基宏

    2018年日本数学会秋季総合分科会 2018/09

  105. Global dynamics below the ground for NLS with a Dirac delta potential in 1d

    Masahiro Ikeda

    Workshop Dispersive properties of Schrödinger and wave equations with perturbation 2018/09

  106. Global dynamics below the ground state for the focusing semilinear Schrödinger equation with a linear potential

    Masahiro Ikeda

    Seminar on Mathematical Analysis and its application 2018/09

  107. Blow-up of solutions to semi linear wave equation with a scaling invariant critical damping

    Masahiro Ikeda

    MSJ-SI "The Role of Metrics in the Theory of Partial Differential Equations" 2018/07

  108. An explicit expression for the global minimizer network

    Sho Sonoda, Isao Ishikawa, Masahiro Ikeda, Kei Hagihara, Yoshihiro Sawano, Takuo Matsubara, Noboru Murata

    ICML2018 2018/07

  109. Sharp estimate of lifespan to semi linear damped wave equation with an effective time-dependent damping

    Masahiro Ikeda

    International Workshop on "Fundamental Problems in Mathematical and Theoretical Physics" 2018/07

  110. Life-span of solutions to semilinear wave equation with time-dependent critical damping

    池田 正弘, 側島 基宏

    2018年日本数学会年会 2018/03

  111. Life-span of solutions to semilinear wave equation with space-dependent critical damping

    池田 正弘, 側島 基宏

    2018年日本数学会年会 2018/03

  112. 時間変数に依存するスケール臨界な摩擦項を 持つ非線形波動方程式の解の爆発

    池田 正弘

    京都大学NLPDEセミナー 2017/12

  113. Lifespan of blow-up solutions to semilinear wave equation with space-dependent critical damping

    Masahiro Ikeda

    Taiwan-Japan Workshop on Dispersion, Navier-Stokes, Kinetic, and Inverse Problems 2017/12

  114. Upper bound for lifespan of solutions to certain semilinear parabolic, dispersive and hyperbolic equations via a unified test function method

    池田 正弘

    数理生物学・現象数理学ワークショップ 2017/11

  115. Global dynamics below the ground state for the nonlinear Schrödinger equation with a linear potential

    Masahiro Ikeda

    Hausdorff School: Dispersive Equations, Solitons, and Blow-up 2017/09

  116. ポテンシャル付き非線形シュレディンガー方 程式の解の大域ダイナミクスについて

    池田 正弘

    談話会 2017/08

  117. Global dynamics below the ground state for the nonlinear Schrödinger equation with a linear potential

    Masahiro Ikeda

    ISAAC2017 2017/08

  118. Scattering below a ground state for NLS with a potential in 1d

    池田 正弘

    埼玉解析ゼミ 2017/07

  119. Global dynamics below the ground state for the nonlinear Schrödinger equations with a potential

    池田 正弘

    応用解析研究会 2017/06

  120. lobal dynamics below the ground state for the nonlinear Schrödinger equations with a potential

    池田 正弘

    談話会 2017/06

  121. Global dynamics below the ground state for the nonlinear Schrödinger equation with a repulsive potential

    Masahiro Ikeda

    Probabilistic perspectives in nonlinear PDEs 2017/06

  122. Global dynamics below the ground state for the nonlinear Schrödinger equations with a repulsive potential

    池田 正弘

    名古屋微分方程式セミナー 2017/05

  123. Global dynamics below the ground state for the nonlinear Schrödinger equations with a repulsive potential

    池田 正弘

    神楽坂解析セミナー 2017/05

  124. Global dynamics of solutions below a ground state for the nonlinear Schrödinger equation with a repulsive potential

    池田 正弘

    Seminar on Nonlinear Analysis at O-okayama 2017/04

  125. ディラックのデルタ関数をポテンシャルに持 つ非線形シュレディンガー方程式の解の分類について

    池田 正弘

    談話会 2016/12

  126. Sharp estimate of lifespan and blow-up rate of solutions to the damped wave equation

    池田 正弘

    第6回弘前非線形方程式研究会 2016/12

  127. Sharp Lifespan Estimates and Blow- up Rates for the Semilinear Wave Equation with Time- Dependent Damping and Subcritical Nonlinearities

    Masahiro Ikeda

    2016 Taiwan-Japan Workshop on Dispersion, Navier Stokes, Kinetic, and Inverse Problems 2016/12

  128. The Cauchy problem for the nonlinear damped wave equation with slowly decaying data

    池田 正弘, 戍亥 隆恭, 若杉 勇太

    日本数学会秋季総合分科会 2016/09

  129. Lifespan of solutions to the damped wave equation with the Fujita exponent

    池田 正弘

    Seminar on Nonlinear Wave Equations in Hakodate 2016/08

  130. ディラックのデルタ関数をポテンシャルに持 つ非線形シュレディンガー方程式の解の分類について

    池田 正弘

    線形及び非線形分散型方程式に関する最近の進展 2016/05

  131. ディラックのデルタ関数をポテンシャルに持 つ非線形シュレディンガー方程式の解の分類について

    池田 正弘

    HMA seminar 2016/04

  132. Diracのデルタ関数をポテンシャル に持つ非線形シュレディンガー方程式の解の分類につい て

    池田 正弘, 戍亥 隆恭

    日本数学会年会 2016/03

  133. ディラックのデルタ関数をポテンシャルに持 つ非線形シュレディンガー方程式の解の分類について

    池田 正弘

    数理モデルにおける非線型消散・分散構造の臨界性の 未開領域解明 2016/01

  134. lobal dynamics for the focusing nonlinear Schrödingier equation with a repulsive delta potential in the mass-supercritical case

    池田 正弘

    微分方程式 の総合的研究 2015/12

  135. Estimate on the lifespan of solutions to the damped wave equation with a critical nonlinearity

    Masahiro Ikeda

    The 3rd CAU-Kyoto U. Joint Workshop on Nonlinear PDEs 2015/09

  136. Null structure in a system of quadratic derivative nonlinear Schrödinger equations

    Masahiro Ikeda

    14th New Mexico Analysis Seminar 2015/03

  137. 絶対値べき乗型非線形シュレディ ンガー方程式の解のライフスパンと局所解の非存在に ついて

    池田 正弘, 戍亥 隆恭

    日本数学会秋季総合分科会 2014/09

  138. Non-existence results for the semi linear Schrödinger equation

    Masahiro Ikeda

    6th Euro-Japanese workshop on blow-up 2014/09

  139. Non-existence results for a semi- linear Schrödinger equation

    Masahiro Ikeda

    Asymptotic Analysis for Nonlinear Dispersive and Wave Equations 2014/09

  140. Well-posedness and scattering for a Schrödinger system with null forms at the scaling critical regularity

    Masahiro Ikeda

    Harmonic analysis and nonlinear partial differential equations 2014/06

  141. On small data blow-up for the nonlinear damped wave equation and Schrödinger equation

    池田 正弘

    微分方程式セミナー 2014/05

  142. Estimate of lifespan for some nonlinear Schrödinger equation and damped wave equation

    池田 正弘

    NLPDEセミナー 2014/04

  143. Null structure and well-posedness for a quadratic derivative NLS system

    Masahiro Ikeda

    The 15th Northeastern symposium on Mathematical analysis 2014/02

  144. Null structure in a system of quadratic nonlinear Schrödinger equations

    池田 正弘

    応用数学セミナー 2013/12

  145. A note on lifespan to the semi linear damped wave equation

    池田 正弘

    第 7 回 実解析と函数解析に よる微分方程式セミナー 2013/12

  146. 絶対値p乗の非線形項を持つシュレディンガ ー方程式の小さな初期値に対する解の爆発について

    池田 正弘

    PDE特別セミナー 2013/07

  147. 絶対値p乗の非線形項を持つシュレディンガ ー方程式に対する解のライフスパンの評価について

    池田 正弘

    2013年度日本数学会年会 2013/03

  148. 絶対値p乗の非線形項を持つシュレディンガ ー方程式に対する解のライフスパンの評価について

    池田 正弘

    第4回白浜研究集会 2012/12

  149. Small data blow-up of L^2-solution for the nonlinear Schrödinger equation with a critical or subcritical nonlinearity

    池田 正弘

    名古屋微分方程式セミナー 2012/10

  150. Asymptotic analysis for a system of Klein-Gordon equations

    Masahiro Ikeda

    Asymptotic analysis for a system of Klein-Gordon equations 2012/10

  151. 質量共鳴条件を備えた非線形 Klein-Gordon方程式系の非相対論的極限について

    池田 正弘, 若杉 勇太

    2012年度日本数学会秋季総合分科会 2012/09

  152. Small date blow-up for L^2-solution of the Schrödinger equation with a critical or subcritical non-gauge invariant power nonlinearity

    Masahiro Ikeda

    5th Euro-Japan workshop on blow-up 2012/09

  153. 質量共鳴条件を備えた非線形Klein-Gordon 方程式系の非相対論的極限について

    池田 正弘

    2011年度偏微分 方程式集中セミナー 2012/08

  154. 質量共鳴条件を備えた非線形Klein-Gordon 方程式系の非相対論的極限について

    池田 正弘

    第33回発展方程式 若手セミナー 2012/08

  155. Small data blow-up of L^2-solution for the nonlinear Schrödinger equation with a critical or subcritical nonlinearity

    池田 正弘

    非線形分散型方程式における 最近の進展 2012/05

  156. 空間2次元におけるDirac-Klein-Gordon 方程式系の波動作用素について

    池田 正弘

    日本数学会2012年度 年会 2012/03

  157. 絶対値p乗の非線形項を持つ シュレディンガー方程式に対するsmall data blow-upに ついて

    池田 正弘, 若杉勇太

    日本数学会2012年度年会 2012/03

  158. Small data blow-up of L^2-solution for some nonlinear Schrödinger equation

    池田 正弘

    若手のための 偏微分方程式と数学解析 2012/02

  159. 非線形シュレディンガー方程式に対する small data blow-up について

    池田 正弘

    第9回城崎新人セミナー 2012/02

  160. 臨界冪と劣臨界冪の非線形項を持つ シュレディンガー方程式における小さな初期値に対する 解の爆発

    池田 正弘

    第8回北大若手総合研究集会 2012/02

  161. On small data blow-up for some nonlinear Schrödinger equation

    池田 正弘

    函館偏微分方程式研究会 2012/01

  162. Nonexistence of a non-trivial global weak solution for some nonlinear Schrödinger equation

    池田 正弘

    若手研究者による実解析と偏微分方程式2011 2011/12

  163. ゲージ不変性のない非線形シュレディンガー 方程式に対するsmall data blow-upについて

    池田 正弘

    埼玉解析ゼミ 2011/12

  164. 空間2次元におけるDirac-Klein-Gordon 方程式系に対する解の漸近挙動について

    池田 正弘

    第3回白浜研究集会 2011/12

  165. Small data blow-up of L^2-solution for the nonlinear Schrödinger equation with a nonage invariant power nonlinearity

    池田 正弘

    NLPDEセミナー 2011/11

  166. Hartree-Fock方程式に対する修正波動作用素 の定義域と値域について

    池田 正弘

    2011年度日本数学会秋季総合 分科会 2011/09

  167. 空間2次元におけるDirac-Klein-Gordon 方程式系の波動作用素の存在について

    池田 正弘

    2011年度 偏微分方程式集中セミナー 2011/08

  168. 空間2次元におけるDirac-Klein-Gordon 方程式系の波動作用素について

    池田 正弘

    第33回発展方程式若手 セミナー 2011/08

  169. 空間2次元におけるDirac-Klein-Gordon 方程式系の波動作用素の存在について

    池田 正弘

    微分方程式セミナー 2011/06

  170. Scattering problem for the system of the Maxwell-Dirac and Dirac-Klein-Gordon equations

    池田 正弘

    非線形双曲型及び分散型方程式の研究 2011/05

  171. Hartree-Fock方程式に対する散乱問題 について

    池田 正弘

    第7回数学総合若手研究集会 2011/03

  172. 分散型方程式の散乱状態の非存在について

    池田 正弘

    日本数学会2010年度年会 2011/03

  173. 非線形分散型波動方程式の解の漸近解析

    池田 正弘

    数物合同発表会 2011/02

  174. ハートリー・フォック方程式に対する 散乱問題について

    池田 正弘

    第8回城崎新人セミナー 2011/02

  175. 非線形分散型波動方程式の解の漸近解析

    池田 正弘

    大阪大学理学懇話会 2011/01

  176. ハートリー・フォック方程式に対する 修正波動作用素の定義域と値域について

    池田 正弘

    若手研究者による実解析と偏微分方程式2010 2010/12

  177. ある3次の非線形項を持つ非線形 シュレディンガー方程式に対する散乱状態の非存在 について

    池田 正弘

    第2回白浜研究集会 2010/11

  178. Nonexistence of scattering states for some cubic nonlinear Schrödinger type equation in one space dimension

    池田 正弘

    2010年度偏微分方程式集中セミナー 2010/08

  179. irac-Klein-Gordon方程式系の散乱問題 について

    池田 正弘

    第32回発展方程式若手セミナー 2010/08

  180. Dirac-Klein-Gordon方程式系の散乱問題 について

    池田 正弘

    RA・プロジェクト研究合同研究成果発表会 2010/03

  181. Dirac-Klein-Gordon方程式系の波動作用素 について

    池田 正弘

    微分方程式セミナー 2010/02

  182. Dirac-Klein-Gordon方程式系の波動作用素 について

    池田 正弘

    神楽坂解析セミナー 2009/12

  183. Dirac-Klein-Gordon方程式系の 波動作用素について

    林仲夫, 池田 正弘

    日本数学会2009年度秋季総合 分科会 2009/09

  184. Dirac-Klein-Gordon方程式系の波動作用素 について

    池田 正弘

    数物コアセミナー 2009/09

  185. Dirac-Klein-Gordon方程式(1次元)の大域解の 存在について

    池田 正弘

    2009年度偏微分方程式集中セミナー 2009/08

  186. 線形消散型波動 方程式の解の時間減衰評価, 可積分でない初期値を持つ 非線形問題の臨界指数

    池田 正弘, 戍亥 隆恭, 岡本 葵, 若杉 勇太

    2018年日本数学会年会

  187. Lifespan of solutions to semi linear wave equation with time-dependent critical damping

    池田 正弘

    神楽坂非線形波動研究会

  188. Integral representation of a minimizer for a Back Propagation problem

    池田 正弘

    2018年日本数学会 秋季総合分科会数学連携ワークショップ

  189. Back Propagation学習の極小点とリッジレッド 変換について

    池田 正弘

    津山高専人工知能研究講演会

Industrial Property Rights 1

  1. 橋本 悠香, 松尾 洋一, 石川 勲, 池田 正弘, 河原 吉伸

    異常検知装置, 異常検知方法, 及びプログラム

    出願日:2019/08/26