顔写真

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Nakamura Makoto
中村　誠
Nakamura Makoto
中村　誠
Institutional repository
Graduate School of Information Science and Technology　Department of Pure and Applied Mathematics, Professor

keyword Klein-Gordon equation，Schrodinger equation，wave equation，nonlinear，Partial differential equations

Institutional repository

Research History 1

  1. 2022/04 - Present
    Osaka University　Graduate School of Information Science and Technology　Professor

Committee Memberships 6

  1. 国際研究集会 ``Beijing-Osaka joint workshop for PDE and related topics," 組織者（他1名）　Other

    2023/08 - 2023/08

  2. 国際研究集会 ``The 14th International ISAAC Congress,'' 組織者（他2名）　Other

    2023/07 - 2023/07

  3. 研究集会``Dispersive and wave equations,'' 組織者　Other

    2022/08 - 2022/08

  4. International Conference ``Mathematical Analysis of Nonlinear Dispersive and Wave Equations,'' 代表組織委員（他組織者7名）　Other

    2022/08 - 2022/08

  5. 研究集会``Nonlinear Wave Equations,'' 組織者（他2名）　Other

    2021/12 - 2021/12

  6. 国際研究集会 ``The 13th International ISAAC Congress''　Session ``Partial Differential Equations on Curved Spacetimes," 組織者（他2名）　Academic society

    2021/08 - 2021/08

Papers 74

  1. Blowing-up solutions of Klein-Gordon equations with gauge variant semilinear terms in Friedmann-Lemaitre-Robertson-Walker spacetimes under finite speed of propagation

    J. Math. Phys.　No. 66　2025/04　Research paper (scientific journal)

  2. The Cauchy problem for a semilinear ordinary differential equation in the homogeneous and isotropic spacetime

    M. Nakamura

    Tsukuba Journal of Mathematics　Vol. 47　p. 153-189　2023/12　Research paper (scientific journal)

  3. On the Cauchy problem for the Hartree type semilinear Schrödinger equation in the de Sitter spacetime

    Mikio Ichimiya, Makoto Nakamura

    Evolution Equations and Control Theory　Vol. 12　No. 6　p. 1602-1628　2023/12　Research paper (scientific journal)

    Publisher: American Institute of Mathematical Sciences (AIMS)

  4. Numerical accuracy and stability of semilinear Klein–Gordon equation in de Sitter spacetime

    Takuya Tsuchiya, Makoto Nakamura

    JSIAM Letters　Vol. 15　p. 45-48　2023　Research paper (scientific journal)

    Publisher: The Japan Society for Industrial and Applied Mathematics

  5. The Cauchy problem for the Klein–Gordon equation under the quartic potential in the de Sitter spacetime

    Makoto Nakamura

    Journal of Mathematical Physics　Vol. 62　No. 12　p. 121509-121509　2021/12/01　Research paper (scientific journal)

    Publisher: AIP Publishing

  6. Asymptotic behaviors of global solutions for a semilinear diffusion equation in the de Sitter spacetime

    Makoto Nakamura, Hiroshi Takeda

    Asymptotic Analysis　Vol. 125　No. 3-4　p. 203-245　2021/10/06　Research paper (scientific journal)

    Publisher: IOS Press

  7. On the Cauchy problem for the Klein-Gordon equation with the Hartree type semilinear term in the de Sitter spacetime

    M. Nakamura, H. Takashima

    Differential and Integral Equations　Vol. 34　p. 351-382　2021/07　Research paper (scientific journal)

  8. EXISTENCE AND NON-EXISTENCE OF GLOBAL SOLUTIONS FOR THE SEMILINEAR COMPLEX GINZBURG-LANDAU TYPE EQUATION IN HOMOGENEOUS AND ISOTROPIC SPACETIME

    Makoto NAKAMURA, Yuya SATO

    Kyushu Journal of Mathematics　Vol. 75　No. 2　p. 169-209　2021　Research paper (scientific journal)

    Publisher: Faculty of Mathematics, Kyushu University

  9. On the Cauchy problem for the semilinear Proca equations in the de Sitter spacetime

    M. Nakamura

    Journal of Differential Equations　Vol. 270　p. 1218-1257　2021　Research paper (scientific journal)

  10. REMARKS ON THE DERIVATION OF SEVERAL SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS FROM A GENERALIZATION OF THE EINSTEIN EQUATIONS

    Makoto Nakamura

    OSAKA JOURNAL OF MATHEMATICS　Vol. 57　No. 2　p. 305-331　2020/04　Research paper (scientific journal)

  11. On some effects of background metrics for several partial differential equations

    M. Nakamura

    Advanced Studies in Pure Mathematics, Mathematical Society of Japan, Kinokuniya, Tokyo.　Vol. 85　p. 315-324　2020　Research paper (scientific journal)

  12. Remarks on the Navier-Stokes equations and the elastic wave equations in homogeneous and isotropic spacetimes

    M. Nakamura

    Tsukuba Journal of Mathematics　Vol. 44　No. 2　p. 271-308　2020　Research paper (scientific journal)

  13. On the nonrelativistic limit of a semilinear field equation in a homogeneous and isotropic space

    M. Nakamura

    Kyoto Journal of Mathematics　Vol. 60　No. 4　p. 1333-1359　2020　Research paper (scientific journal)

  14. Remarks on global solutions for the semilinear diffusion equation in the de Sitter spacetime

    M. Nakamura, Y. Sato

    Hokkaido Mathematical Journal　Vol. 49　p. 481-508　2020　Research paper (scientific journal)

  15. On the numerical experiments of the Cauchy problem for semi-linear Klein-Gordon equations in the de Sitter spacetime

    Takuya Tsuchiya, Makoto Nakamura

    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS　Vol. 361　p. 396-412　2019/12　Research paper (scientific journal)

  16. Strichartz type estimates in mixed Besov spaces with application to critical nonlinear Schrodinger equations

    Makoto Nakamura, Takeshi Wada

    JOURNAL OF DIFFERENTIAL EQUATIONS　Vol. 267　No. 5　p. 3162-3180　2019/08　Research paper (scientific journal)

  17. Global solutions for nonlinear Schrodinger equations in de Sitter spacetime

    Makoto Nakamura

    ASYMPTOTIC ANALYSIS FOR NONLINEAR DISPERSIVE AND WAVE EQUATIONS　Vol. 81　p. 311-322　2019　Research paper (international conference proceedings)

  18. On the regularity of the semilinear term on the Cauchy problem for the Schrodinger equation

    M. Nakamura

    Proceedings of the 11th ISAAC congress 2017　p. 369-377　2019　Research paper (international conference proceedings)

  19. On the effects of spatial expansion and contraction on several semilinear partial dierential equations

    M. Nakamura

    京都大学数理解析研究所講究録　2018/11　Research paper (bulletin of university, research institution)

  20. On the effects of spatial expansion and contraction on several semilinear partial differential equations

    M. Nakamura

    京都大学数理解析研究所講究録 "非線形波動・分散型方程式"　Vol. 2093　p. 27-37　2018/11　Research paper (bulletin of university, research institution)

  21. On the existence time of local solutions for critical semilinear Schrodinger equations in Sobolev spaces

    Tsukasa Iwabuchi, Makoto Nakamura

    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS　Vol. 33　p. 168-180　2017/02　Research paper (scientific journal)

  22. The Cauchy Problem for Nonlinear Complex Ginzburg-Landau Type Equations

    Makoto Nakamura

    NEW TRENDS IN ANALYSIS AND INTERDISCIPLINARY APPLICATIONS　p. 515-519　2017　Research paper (international conference proceedings)

  23. Some effects of the spatial variance on the Cauchy problem for partial differential equations

    M. Nakamura

    RIMS K\^oky\^uroku Bessatsu　Vol. B65　p. 79-90　2017　Research paper (international conference proceedings)

  24. On the effect of spatial expansion on nonlinear Schr\"odinger equations

    M. Nakamura

    平成27年度「熊本大学応用解析セミナー」報告集，熊本大学　p. 129-131　2016/03　Research paper (bulletin of university, research institution)

  25. Modified Strichartz estimates with an application to the critical nonlinear Schrodinger equation

    Makoto Nakamura, Takeshi Wada

    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS　Vol. 130　p. 138-156　2016/01　Research paper (scientific journal)

  26. Remarks on a dispersive equation in de Sitter spacetime

    Makoto Nakamura

    Dynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain)　p. 901-905　2015/11　Research paper (international conference proceedings)

    Publisher: American Institute of Mathematical Sciences

  27. REMARKS ON THE CAUCHY PROBLEM OF KLEIN-GORDON EQUATIONS WITH WEIGHTED NONLINEAR TERMS

    Michinori Ishiwata, Makoto Nakamura, Hidemitsu Wadade

    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS　Vol. 35　No. 10　p. 4889-4903　2015/10　Research paper (scientific journal)

  28. On nonlinear Schrodinger equations derived from the nonrelativistic limit of nonlinear Klein-Gordon equations in de Sitter spacetime

    Makoto Nakamura

    JOURNAL OF DIFFERENTIAL EQUATIONS　Vol. 259　No. 7　p. 3366-3388　2015/10　Research paper (scientific journal)

  29. Remarks on the effect of spatial expansion for nonlinear partial differential equations

    M. Nakamura

    Proceedings of the 40th Sapporo Symposium on Partial Differential Equations,　Vol. 164　p. 74-77　2015/08　Research paper (conference, symposium, etc.)

  30. REMARKS ON GLOBAL SOLUTIONS OF DISSIPATIVE WAVE EQUATIONS WITH EXPONENTIAL NONLINEAR TERMS

    Makoto Nakamura

    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS　Vol. 14　No. 4　p. 1533-1545　2015/07　Research paper (scientific journal)

  31. Energy solutions for nonlinear Klein-Gordon equations in de Sitter spacetime

    M. Nakamura

    Current Trends in Analysis and Its Applications: Proceedings of the 9th ISAAC Congress, Krak\'ow 2013, Birkh\"auser, Springer　Vol. 16　p. 203-208　2015/02

  32. Remarks on global solutions of dissipative wave equations with exponential nonlinear terms

    Makoto Nakamura

    Communications on Pure & Applied Analysis　Vol. 14　No. 4　p. 1533-1545　2015　Research paper (scientific journal)

    Publisher: American Institute of Mathematical Sciences (AIMS)

  33. On the solutions for nonlinear wave equations with localized dissipations in exterior domains

    Makoto Nakamura

    NONLINEAR DYNAMICS IN PARTIAL DIFFERENTIAL EQUATIONS　Vol. 64　p. 289-294　2015　Research paper (international conference proceedings)

  34. The Cauchy problem of semilinear Schroedinger equations in curved background

    M. Nakamura

    Proceedings. Wayamba International Conference　p. 302-302　2014/08　Research paper (international conference proceedings)

  35. On the sharp constant of the weighted Trudinger-Moser type inequality of the scaling invariant form

    M. Ishiwata, M. Nakamura, H. Wadade

    Annales de l'Institut Henri Poincar'e - Analyse non lineaire　Vol. 31　No. 2　p. 297-314　2014/03　Research paper (scientific journal)

  36. Remarks on a weighted energy estimate and its application to nonlinear wave equations in one space dimension

    Makoto Nakamura

    JOURNAL OF DIFFERENTIAL EQUATIONS　Vol. 256　No. 2　p. 389-406　2014/01　Research paper (scientific journal)

  37. Weighted energy estimates and applications for nonlinear wave equations

    M. Nakamura

    p. 11-16　2013/12　Research paper (bulletin of university, research institution)

  38. The Cauchy problem for semi-linear Klein-Gordon equations in de Sitter spacetime

    Makoto Nakamura

    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS　Vol. 410　No. 1　p. 87-90　2013/12　Research paper (bulletin of university, research institution)

  39. Global and almost global solutions for some nonlinear parabolic equations in Besov spaces and Triebel-Lizorkin spaces

    T. Iwabuchi, M. Nakamura

    Adv. Differential Equations　2013/11　Research paper (scientific journal)

  40. Remarks on global solutions for nonlinear wave equations under the standard null conditions

    Hans Lindblad, Makoto Nakamura, Christopher D. Sogge

    JOURNAL OF DIFFERENTIAL EQUATIONS　Vol. 254　No. 3　p. 1396-1436　2013/02　Research paper (scientific journal)

  41. Scattering theory for the Dirac equation of Hartree type and the semirelativistic Hartree equation

    Makoto Nakamura, Kimitoshi Tsutaya

    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS　Vol. 75　No. 8　p. 3531-3542　2012/05　Research paper (scientific journal)

  42. Global solutions for nonlinear wave equations with localized dissipations in exterior domains

    Makoto Nakamura

    JOURNAL OF DIFFERENTIAL EQUATIONS　Vol. 252　No. 9　p. 4742-4785　2012/05　Research paper (scientific journal)

  43. Small global solutions for nonlinear complex GinzburgLandau equations and nonlinear dissipative wave equations in Sobolev spaces

    Makoto Nakamura

    Reviews in Mathematical Physics　Vol. 23　No. 8　p. 903-931　2011/09　Research paper (scientific journal)

  44. REMARKS ON KEEL-SMITH-SOGGE ESTIMATES AND SOME APPLICATIONS TO NONLINEAR HIGHER-ORDER WAVE EQUATIONS

    Makoto Nakamura

    DIFFERENTIAL AND INTEGRAL EQUATIONS　Vol. 24　No. 5-6　p. 519-540　2011/05　Research paper (scientific journal)

  45. 非線形波動方程式の外部問題について

    M. Nakamura

    平成18年度「熊本大学応用解析セミナー」報告集，熊本大学　p. 1-6　2008/01　Research paper (bulletin of university, research institution)

  46. Global existence and uniqueness of solutions to the Maxwell-Schrodinger equations

    Makoto Nakamura, Takeshi Wada

    COMMUNICATIONS IN MATHEMATICAL PHYSICS　Vol. 276　No. 2　p. 315-339　2007/12　Research paper (scientific journal)

  47. General quasilinear wave equations with localized dissipation in exterior domains

    J. Metcalfe, M. Nakamura

    Journal of Differential Equations　Vol. 233　No. 1　p. 313-344　2007/02　Research paper (scientific journal)

  48. A generalization of the weighted strichartz estimates for wave equations and an application to self-similar solutions

    Jun Kato, Makoto Nakamura, Tohru Ozawa

    Communications on Pure and Applied Mathematics　Vol. 60　No. 2　p. 164-186　2007/02　Research paper (scientific journal)

  49. 非線形波動方程式の外部問題について

    M. Nakamura

    日本数学会，2007年度秋季総合分科会，函数方程式論分科会，講演アブストラクト，特別講演　p. 150-157　2007　Research paper (conference, symposium, etc.)

  50. シュレディンガー方程式の外部問題について

    中村 誠

    京都大学数理解析研究所講究録 "偏微分方程式に対する境界値問題"　Vol. 1558　p. 1-26　2007　Research paper (bulletin of university, research institution)

    Publisher: 京都大学

  51. Global solutions for quasilinear wave equations in three dimensions

    M. Nakamura

    GAKUTO International Series, Mathematical Sciences and Applications　Vol. 26　p. 141-168　2006　Research paper (international conference proceedings)

  52. Global existence of quasilinear, nonrelativistic wave equations satisfying the null condition

    METCALFE Jason, NAKAMURA Makoto, SOGGE Christopher D.

    Japanese journal of mathematics. New series　Vol. 31　No. 2　p. 391-472　2005/12　Research paper (scientific journal)

    Publisher: The Mathematical Society of Japan

  53. Local well-posedness for the Maxwell-Schrödinger equation

    Makoto Nakamura, Takeshi Wada

    Mathematische Annalen　Vol. 332　No. 3　p. 565-604　2005/05　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  54. Tohru Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation

    MACHIHARA S.

    J. Funct. Anal.　Vol. 219　No. 1　p. 1-20　2005/02　Research paper (scientific journal)

  55. Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains

    M. Nakamura

    京都大学数理解析研究所講究録 "非線型波動及び分散型方程式に関する研究"　Vol. 1417　p. 8-35　2005　Research paper (bulletin of university, research institution)

  56. An application of Kubota-Yokoyama estimates to quasilinear wave equations with cubic terms in exterior domains

    M. Nakamura

    Vol. 96　2005　Research paper (international conference proceedings)

  57. Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains

    J. Metcalfe, M. Nakamura, C. D. Sogge

    Forum Mathematicum　Vol. 17　No. 1　p. 133-168　2005　Research paper (scientific journal)

  58. SMALL GLOBAL SOLUTIONS FOR NONLINEAR DIRAC EQUATIONS

    Shuji Machihara, Makoto Nakamura, Tohru Ozawa

    DIFFERENTIAL AND INTEGRAL EQUATIONS　Vol. 17　No. 5-6　p. 623-636　2004/05　Research paper (scientific journal)

  59. On some generalization of the weighted Strichartz estimates for the wave equation and self-similar solutions to nonlinear wave equations

    J. Kato, M. Nakamura, T. Ozawa

    Vol. 1389　p. 78-89　2004　Research paper (bulletin of university, research institution)

  60. Local well-posedness for the Maxwell-Schr{\"o}dinger equation

    M. Nakamura, T. Wada

    Mathematische Annalen　Vol. 1355　No. 3　p. 99-106　2004　Research paper (bulletin of university, research institution)

  61. A miniature scattering theory for nonlinear Klein-Gordon equations

    Nakamura M.

    Kyushu journal of mathematics　Vol. 57　No. 2　p. 255-263　2003　Research paper (scientific journal)

    Publisher: Kyushu University

  62. 非線形クライン-ゴルドン方程式の小さな解について

    M. Nakamura

    平成13年度「熊本大学応用解析セミナー」報告集, 熊本大学　p. 67-73　2002/09　Research paper (bulletin of university, research institution)

  63. Small Data Scattering for Nonlinear Schrodinger Wave and Klein-Gordon Equations

    Makoto Nakamura, Tohru Ozawa

    ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE　Vol. 1　No. 2　p. 435-460　2002　Research paper (scientific journal)

  64. The Cauchy Problem for Nonlinear Klein-Gordon Equations in the Sobolev Spaces

    NAKAMURA Makoto, OZAWA Tohru

    Publications of the Research Institute for Mathematical Sciences　Vol. 37　No. 3　p. 255-293　2001　Research paper (scientific journal)

    Publisher: Kyoto University

  65. Small solutions to nonlinear wave equations in the Sobolev spaces

    M. Nakamura, T. Ozawa

    Houston Journal of Mathematics　Vol. 27　No. 3　p. 613-632　2001　Research paper (scientific journal)

  66. ソボレフ空間に於ける非線型シュレディンガー方程式

    M. Nakamura, T. Ozawa

    京都大学数理解析研究所講究録 "調和解析学と非線形偏微分方程式"　Vol. 1355　p. 99-106　2000　Research paper (bulletin of university, research institution)

  67. Small solutions to nonlinear Schr{\"o}dinger equations in the Sobolev spaces

    M. Nakamura, T. Ozawa

    Journal d'Analyse Mathematique　Vol. 81　No. 1　p. 305-329　2000　Research paper (scientific journal)

  68. Strichartz estimates for wave equations in the homogeneous Besov space

    M. Nakamura

    京都大学数理解析研究所講究録 "調和解析学と非線形偏微分方程式"　Vol. 1102　p. 128-138　1999　Research paper (bulletin of university, research institution)

  69. Global solutions in the critical Sobolev space for the wave equations with nonlinearity of exponential growth

    NAKAMURA M.

    Math. Z.　Vol. 231　No. 3　p. 479-487　1999　Research paper (scientific journal)

  70. The Cauchy problem for nonlinear wave equations in the homogeneous Sobolev space

    NAKAMURA M.

    Ann. Inst. Henri Poincare, Phys. Theor.　Vol. 71　No. 2　p. 199-215　1999　Research paper (scientific journal)

  71. The Cauchy problem for nonlinear wave equations in the Sobolev space of critical order

    M. Nakamura, T. Ozawa

    Discrete and Continuous Dynamical Systems - Series A　Vol. 5　No. 1　p. 215-231　1999　Research paper (scientific journal)

  72. The Cauchy problem for nonlinear wave equations in the homogeneous Sobolev space

    M. Nakamura, T.Ozawa

    京都大学数理解析研究所講究録 "調和解析学と非線形偏微分方程式"　Vol. 1059　p. 9-21　1998　Research paper (bulletin of university, research institution)

  73. Nonlinear Schr\"odinger equations in the Sobolev space of critical order

    M. Nakamura, T. Ozawa

    Journal of Functional Analysis　Vol. 155　No. 2　p. 364-380　1998　Research paper (scientific journal)

  74. Low energy scattering for nonlinear Schr{\"o}dinger equations in fractional order Sobolev spaces

    M. Nakamura, T. Ozawa

    Reviews in Mathematical Physics　Vol. 9　No. 3　p. 397-410　1997　Research paper (scientific journal)

Misc. 1

  1. SMALL SOLUTIONS FOR NONLINEAR HEAT EQUATIONS, THE NAVIER-STOKES EQUATION, AND THE KELLER-SEGEL SYSTEM IN BESOV AND TRIEBEL-LIZORKIN SPACES

    Tsukasa Iwabuchi, Makoto Nakamura

    ADVANCES IN DIFFERENTIAL EQUATIONS　Vol. 18　No. 7-8　p. 687-736　2013/07

Publications 4

  1. The Cauchy problem for dissipative wave equations with weighted nonliner terms

    M. Nakamura, H. Wadade

    Birkhauser　2019/05/08　Scholarly book

  2. 半線形消散型波動方程式の Cauchy 問題の解の時間大域的漸近挙動

    大学院GP数学レクチャーノートシリーズ，GP-TML20，東北大学大学院理学研究科発行，　2010/03

  3. Einstein 方程式の初期値問題

    東北大学グローバルCOE「物質階層を紡ぐ科学フロンティアの新展開」，春の学校「アインシュタイン方程式の世界観」偏微分方程式の幾何学的構造と物理的意味を求めて，講義録　2009/07

  4. Modulation空間とその応用について

    大学院GP数学レクチャーノートシリーズ，GP-TML7，東北大学大学院理学研究科発行　2008/12

Presentations 91

  1. Blowing-up solutions for semi-linear Klein–Gordon equations with the blowing-up space in FLRW spacetimes

    2025/03/21

  2. De Sitter 時空における半線型 Klein–Gordon 方程式の解の収束性と挙動について

    T. Tsuchiya, M. Nakamura

    2025/03/21

  3. Blowing-up solutions for semi-linear Klein-Gordon equations in FLRW spacetimes

    T. Yoshizumi, M. Nakamura

    2024/09/06

  4. Global solutions for semi-linear Klein-Gordon equations in FLRW spacetimes

    T. Yoshizumi, M. Nakamura

    2024/09/06

  5. On the convergence and asymptotic behavior of the solution of semilinear Klein-Gordon equation

    T. Tsuchiya, M. Nakamura

    2024/09/05

  6. Remarks on global solutions on semilinear Klein-Gordon equations in Friedmann-Lemaitre-Robertson-Walker spacetimes

    M. Nakamura

    Mathematical Physics Seminar, The University of Texas Rio Grande Valley　2024/03/21

  7. On the Klein-Gordon equation under the quartic potential in the de Sitter spacetime

    M. Nakamura

    Workshop on Nonlinear Hyperbolic PDEs, Tohoku University, Sendai　2023/11/25

  8. Global solutions of Klein-Gordon equation under the quartic potential in the de Sitter spacetime

    M. Nakamura

    14th International ISAAC Congress　2023/07/19

  9. Global solutions of Klein-Gordon equation under the quartic potential in the de Sitter spacetime

    M. Nakamura

    大阪大学理学部数学教室談話会, 大阪大学　2023/05/29

  10. On small global solutions of Klein-Gordon equation under the quartic potential in the de Sitter spacetime

    M. Nakamura

    2023/05/16

  11. The Cauchy problem of Klein-Gordon equation under the quartic potential in the de Sitter spacetime

    M. Nakamura

    Distinguished Colloquium Series, The University of Texas Rio Grande Valley　2023/03/23

  12. 収縮するde Sitter時空における半線形Klein--Gordon方程式の解の挙動について

    T. Tsuchiya, M. Nakamura

    日本数学会年会（中央大学）　2023/03/17

  13. de Sitter時空中における半線形Klein--Gordon方程式の精度と数値安定性について

    T. Tsuchiya, M. Nakamura

    日本数学会年会（中央大学）　2023/03/17

  14. On the Klein-Gordon equation under the quartic potential in the de Sitter spacetime

    M. Nakamura

    Japanese Academic Seminars at Stanford　2023/01/07

  15. On the Cauchy problem for the Klein-Gordon equation under the quartic potential in the de Sitter spacetime

    M. Nakamura

    Analysis & PDE seminar, Stanford University　2022/11/08

  16. Semilinear Proca equations in the de Sitter spacetime

    M. Nakamura

    2022/09/07

  17. Existence and non-existence of global solutions for the Klein-Gordon equation in the de Sitter spacetime

    M. Nakamura

    2022/06/25

  18. Global solutions for the Klein-Gordon equation under the quartic potential in the de Sitter spacetime

    M. Nakamura

    2022/06/11

  19. Global solutions for semilinear Proca equations in the de Sitter spacetime

    M. Nakamura

    2022/06/03

  20. The Cauchy problem for the Klein-Gordon equation under the quartic potential in the de Sitter spacetime

    M. Nakamura

    2022/04/30

  21. Global solutions and blow-up solutions of power-type semilinear Klein-Gordon equations in the de Sitter spacetime

    M. Nakamura

    2022/04/22

  22. Global solutions for nonlinear Proca equations in de Sitter spacetime

    Nonlinear Wave Equations, Waseda University　2021/12/21

  23. On the Cauchy problem for the semilinear Proca equations in the de Sitter spacetime

    Makoto Nakamura

    13th International ISAAC Congress　2021/08/05

  24. On the Klein-Gordon equation with the Hartree type semilinear term in the de Sitter spacetime

    M. Nakamura, H. Takashima

    2021/03/18

  25. Remarks on the Navier-Stokes equations in homogeneous and isotropic spacetimes

    M. Nakamura

    2019/12/28

  26. On the semilinear partial differential equations in homogeneous and isotropic spacetimes

    M. Nakamura

    Geometric Analysis and General Relativity　2019/11/21

  27. Some dissipative and anti-dissipative effects on semilinear PDEs in homogeneous and isotropic spaces

    M. Nakamura

    三重偏微分方程式研究集会　2019/10/04

  28. Asymptotic profiles of global solutions for the semilinear diffusion equation in the de Sitter spacetime

    M. Nakamura

    日本数学会　2019/09/20

  29. On the Cauchy problem for the semilinear Proca equations in the de Sitter spacetime

    M. Nakamura

    日本数学会　2019/09/20

  30. Partial differential equations in homogeneous and isotropic spaces

    M. Nakamura

    日本数学会　2019/09/20

  31. On the Cauchy problem for the Navier-Stokes equations in the de Sitter spacetime

    M. Nakamura

    日本数学会　2019/09/20

  32. On the Cauchy problem for a semilinear ordinary differential equation in homogeneous and isotropic spaces

    M. Nakamura

    日本数学会　2019/09/20

  33. On global solutions for the semilinear complex Ginzburg-Landau type equation in homogeneous and isotropic spaces

    M. Nakamura

    日本数学会　2019/09/17

  34. On the Cauchy problem for a semilinear ordinary differential equation in homogeneous and isotropic spaces

    M. Nakamura

    日本数学会　2019/09/17

  35. Global solutions for the semilinear diffusion equation in the de Sitter spacetime

    M. Nakamura

    ``The 12th International ISAAC Congress,'' Session ``Recent Progress in Evolution Equations,"　2019/07/29

  36. Remarks on the Navier-Stokes equations in homogeneous and isotropic spacetimes

    M. Nakamura

    ``The 12th International ISAAC Congress,'' Session ``Partial Differential Equations on Curved Spacetimes,"　2019/07/29

  37. Remarks on a semilinear diffusion equation in homogeneous and isotropic spaces

    M. Nakamura

    Top global university project, Waseda workshop on partial differential equations 2019　2019/03/22

  38. On the Navier-Stokes equations in homogeneous and isotropic spacetimes with a constant density of mass,

    M. Nakamura

    日本数学会　2019/03/17

  39. Global solutions for a semilinear diusion equation in expanding or contracting spaces

    M. Nakamura, Y. Sato

    日本数学会　2019/03/17

  40. Partial dierential equations in uniform and isotropic spaces

    M. Nakamura

    日本数学会東北支部会　2019/02/16

  41. Global solutions for the semilinear diffusion equation in the de Sitter spacetime

    M. Nakamura

    Nonlinear Dispersive Equations in Kumamoto　2019/01/12

  42. The asymptotic behavior of the semi-linear diffusion equation in de Sitter spacetime

    M. Nakamura, Y. Sato

    Workshop on Mathematical Sciences　2018/08/26

  43. The Cauchy problem for Navier-Stokes equations in de Sitter spacetime

    M. Nakamura

    Workshop on Mathematical Sciences　2018/08/26

  44. On the global solutions for the semi-linear diffusion equation in de Sitter spacetime

    M. Nakamura, Y. Sato

    Wayamba International Conference　2018/08/24

  45. On the Navier-Stokes equation and the elastic wave equations in uniform and isotropic spaces

    M. Nakamura

    Wayamba International Conference　2018/08/24

  46. On the dissipative effect of the spatial expansion for the semilinear diffusion equation

    M. Nakamura

    East Asian Conference in Harmonic Analysis and its Applications 2018　2018/08/03

  47. On some effects of background metrics for several partial differential equations

    M. Nakamura

    The 11th Mathematical Society of Japan, Seasonal Institute　2018/07/02

  48. On the numerical stability of semi-linear Klein-Gordon equations in de Sitter spacetime

    M. Nakamura, T. Tsuchiya

    日本数学会　2018/03/18

  49. On the Cauchy problem of a semilinear diffusion equation in an expanding space

    M. Nakamura

    日本数学会　2018/03/18

  50. Remarks on the derivation of Navier-Stokes equations and elastic wave equations in uniform and isotropic spacetimes

    M. Nakamura

    日本数学会　2018/03/18

  51. Dissipative effects on several partial differential equations in uniform and isotropic spaces

    M. Nakamura

    The 35th Kyushu Symposium on Partial Differential Equations　2018/01/29

  52. On several partial differential equations in uniform and isotropic spaces

    M. Nakamura

    研究集会「第19回特異点研究会」, 大阪市立大学　2017/12/29

  53. On the Cauchy problem for semi-linear field equations in de Sitter spacetime

    M. Nakamura

    Lectures, School of Mathematical Sciences, 北京大学, 中国.　2017/12/20

  54. Remarks on semilinear field equations in uniform and isotropic spaces

    研究集会「微分方程式の総合的研究」, 東京工業大学大岡山キャンパス.　2017/12/16

  55. On the Cauchy problem for semi-linear Klein-Gordon equations in de Sitter spacetime

    M. Nakamura

    The 27th Workshop on General Relativity and Gravitation in Japan，東広島市くららホール．　2017/11/29

  56. Remarks on the derivation of several partial differential equations

    M. Nakamura

    研究集会``Recent Topics on Partial Differential Equations," 中央大学．　2017

  57. Dissipative effects of the spatial expansion for several PDEs

    京都大学数理解析研究所 共同研究（グループ型）事業，研究集会「反応拡散方程式と非線形分散型方程式の解の挙動」京都大学．　2017/09/26

  58. On the effects of spatial expansion and contraction on the semilinear Klein-Gordon equation

    M. Nakamura

    RIMS共同研究（公開型）研究集会"Nonlinear Wave and Dispersive Equations" 京都大学数理解析研究所 平成29年度プロジェクト研究「量子力学の数理解析およびその周辺の話題」, 京都大学　2017/08/30

  59. The regularity of the semilinear term on the Cauchy problem for the Schr\"odinger equation

    M. Nakamura

    The 11th ISAAC congress　2017/08/14

  60. On the regularity of power type nonlinear term of the Schr\"odinger equation

    M. Nakamura

    East Asian Conference in Harmonic Analysis and its Applications 2017　2017/06/09

  61. Remarks on several second order partial differential equations and a generalization of the Einstein equation

    M. Nakamura

    京都大学NLPDEセミナー，京都大学．　2017/04/14

  62. On the derivation of several second order partial differential equations from the Einstein equation

    M. Nakamura

    日本数学会年会，首都大学東京.　2017/03/27

  63. On the nonrelativistic limit of a semilinear field equation in uniform and isotropic space

    M. Nakamura

    日本数学会年会，2017年3月27日, 首都大学東京.　2017/03/27

  64. Nonlinear field equations in the de Sitter spacetime and the Cauchy problem

    M. Nakamura

    Seminar ``Phenomena and Differential Equations,'' 山形大学.

  65. Complex Ginzburg-type equations with semilinear terms as the nonrelativistic limit of field equations

    M. Nakamura

    Seminar ``Phenomena and Differential Equations,'' 山形大学.

  66. On Klein-Gordon equations with power type and exponential type semilinear terms in moving spacetime

    M. Nakamura

    研究会``Recent topics on Partial Differential Equations,'' 山形大学.

  67. Dissipative effects of the cosmological constant on semilinear Schr\"odinger equations and parabolic equations

    M. Nakamura

    研究会``Recent topics on Partial Differential Equations,'' 山形大学.

  68. Some effects of the spatial variance on the Cauchy problem for partial differential equations

    M. Nakamura

    RIMS研究集会「調和解析と非線形偏微分方程式」, 京都大学数理解析研究所.

  69. On a derivation of partial differential equations based on the relativistic theory

    M. Nakamura

    信州大学偏微分方程式研究集会, 信州大学.

  70. On the nonrelativistic limits of semilinear field equations for complex metrics

    M. Nakamura

    研究会「Topics on Partial Differential Equations」, 京都産業大学.　2016/05/02

  71. On the effect of spatial variance on partial differential equations in uniform and isotropic spaces

    M. Nakamura

    名古屋微分方程式セミナー, 名古屋大学.　2015/12/21

  72. On the nonrelativistic limit of nonlinear field equations

    M. Nakamura

    第26回 南大阪応用数学セミナー, 大阪市立大学.　2015/07/11

  73. The Cauchy problem for nonlinear Schr\"odinger equation in fractional order Sobolev spaces

    M. Nakamura, T. Wada

    日本数学会年会, 明治大学

  74. On the effect of spatial expansion on nonlinear Schr\"odinger equations

    M. Nakamura

    熊本大学セミナー, 熊本大学.　2015/03/14

  75. Remarks on Strichartz estimates and an application for nonlinear Schr\"odinger equations

    M. Nakamura

    数理物理に現れる偏微分方程式研究会, 静岡県賀茂郡松崎町雲見.　2015/01/10

  76. On the Cauchy problem for nonlinear Schr{\"o}dinger equations in de Sitter spacetime

    M. Nakamura

    日本数学会秋季総合分科会}, {2014年9月25日から9月28日}, 広島大学.　2014/09/28

  77. Einstein の重力場方程式の初期値問題－１(「宇宙の建築者は純粋数学者と思われる」(J. H. Jeans))

    M. Nakamura

    Encounter with Mathematics, 第62回 波動方程式 --古典物理から相対論まで--, 中央大学.　2014/09/16

  78. Einstein の重力場方程式の初期値問題－２(「宇宙の建築者は純粋数学者と思われる」(J. H. Jeans))

    M. Nakamura

    Encounter with Mathematics, 第62回 波動方程式 --古典物理から相対論まで--, 中央大学.　2014/09/16

  79. Global solutions for nonlinear Schr\"odinger equations in spatial expansion

    M. Nakamura

    2nd East Asian Conference in Harmonic Analysis and Applications, 2014年7月10日から16日, Mudanjiang Normal University (牡丹江師範学院), Mudanjiang, China.　2014/07

  80. 波動の数学解析

    M. Nakamura

    第18回 理工学研究科セミナー, 山形大学.　2014/05/27

  81. Global solutions for nonlinear Klein-Gordon equation in de Sitter spacetime

    M. Nakamura

    1st East Asian Conference in Harmonic analysis and Applications,2013年10月24日から26日, Seoul National University, Korea.　2013/10/24

  82. Energy solutions for nonlinear Klein-Gordon equations in de Sitter spacetime

    M. Nakamura

    Special session 9: Qaulitative properties of evolution models, 9th International ISAAC Congress, 2013年8月5日から9日, Pedagogical University, Krakow, Poland.　2013/08/09

  83. Global solutions for nonlinear wave equations with localized dissipations in exterior domains

    M. Nakamura

    The 5th international conference on Complex Analysis and Dynamical Systems, May 22-27, 2011, Akko, Israel.　2011/05/26

  84. General quasilinear wave equations with localized dissipation in exterior domains

    M. Nakamura

    The 7th AIMS International Conference, University of Texas at Arlington, Arlington, USA.　2008/05/21

  85. Nonlinear wave equations in exterior domains in three space dimensions

    M. Nakamura

    Analytical methods of analysis and differential equations, 2006年9月13日から19日, Minsk, Belarus.　2006/09

  86. The Cauchy problem for Maxwell-Schr{\"o}dinger equations

    M. Nakamura

    Schr{\"o}dinger evolution equations, 2006年4月22日から27日, Banff International Research Station, Canada.　2006/04

  87. Global solutions for quasilinear wave equations in exterior domains

    M. Nakamura

    The Mathematical Society of Japan, International Research Institute, Asymptotic Analysis and Singularity 2005, 仙台国際センター.　2005/05

  88. Global solutions for quasilinear wave equations in three space dimensions

    M. Nakamura

    COE Symposium, Nonlinear Dispersive Equations, 札幌コンベンションセンター.　2004/09

  89. Local well-posedness for the Maxwell-Schroedinger equation

    M. Nakamura

    Analysis seminar, Johns Hopkins University.　2003/03

  90. Small solutions for Klein-Gordon equations with power type nonlinearities

    M. Nakamura

    PDE seminar, パリ11大学.　2002/01

  91. The Cauchy problem for nonlinear wave equations in the homogeneous Sobolev space

    M. Nakamura

    Ninth International Colloquim on Differential Equations　1998/08

Social Activities 10

  • 清華大学からの学生訪問

    清華大学

    2025/01/20 - 2025/01/20

  • unknown

    2024/07/17 - 2024/07/31

  • 微分方程式で予測する未来

    大阪大学大学院情報科学研究科　オープンキャンパス体験授業

    2022/08/19 - 2022/08/19

  • 研究者のタイムマネジメント

    大阪大学大学院情報科学研究科　ランチセミナー

    2022/08/18 - 2022/08/18

  • 自然現象と微分方程式

    2019/10 - 2019/10

  • 自然現象と微分方程式

    2018/09 - 2018/09

  • オープンキャンパス体験授業講師、「微分方程式入門」

    2017/08 - 2017/08

  • 「現象と微分方程式」

    2015/11 - 2015/11

  • トワイライト開放講座「自然現象と微分方程式」

    2015/11 - 2015/11

  • unknown

    2024/09/12 -

Institutional Repository 1

Content Published in the University of Osaka Institutional Repository (OUKA)

  1. REMARKS ON THE DERIVATION OF SEVERAL SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS FROM A GENERALIZATION OF THE EINSTEIN EQUATIONS

    Nakamura Makoto

    Osaka Journal of Mathematics　Vol. 57　No. 2　p. 305-331　2020/04