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Ishiwata Michinori

石渡 通徳

Graduate School of Engineering Science Department of Systems Innovation, Professor

Education

  • - 2002, Waseda University
  • - 2002, Waseda University, Graduate School, Division of Science and Engineering
  • - 1994, Waseda University, School of Science and Engineering
  • - 1994, Waseda University, Faculty of Science and Engineering

Research Areas

  • Natural sciences, Mathematical analysis

Professional Memberships

  • 日本数学会

Papers

  • Vanishing-concentration-compactness alternative for critical Sobolev embedding with a general integrand in $$\mathbb R^2$$, Hidemitsu Wadade,Michinori Ishiwata, Calculus of Variations and Partial Differential Equations, Springer Science and Business Media LLC, Vol. 60, No. 6, 2021/12
  • Variational p-harmonious functions: existence and convergence to p-harmonic functions, E. W. Chandra,M. Ishiwata,R. Magnanini,H. Wadade, Nonlinear Differential Equations and Applications NoDEA, Springer Science and Business Media LLC, Vol. 28, No. 5, 2021/09
  • Asymptotics for a parabolic equation with critical exponential nonlinearity, Michinori Ishiwata,Bernhard Ruf,Federica Sani,Elide Terraneo, Journal of Evolution Equations, Springer Science and Business Media LLC, Vol. 21, No. 2, p. 1677-1716, 2021/06
  • On the effect of inhomogeneous constraints for a maximizing problem associated with the Sobolev embedding of the space of functions of bounded variation, Michinori Ishiwata,Hidemitsu Wadade, Studia Mathematica, Institute of Mathematics, Polish Academy of Sciences, Vol. 257, No. 2, p. 213-240, 2021
  • A potential well argument for a semilinear parabolic equation with exponential nonlinearity, Ishiwata, Michinori,Ruf, Bernhard,Sani, Federica,Terraneo, Elide, MATRIX annals, Vol. 3, p. 265-273, 2020/05
  • On the maximizing problem associated with Sobolev-type embeddings under inhomogeneous constraints, Michinori Ishiwata,Hidemitsu Wadade, Applicable Analysis, Informa UK Limited, Vol. 98, No. 10, p. 1916-1934, 2019/07/27
  • Existence and non-existence of maximizers for the Moser–Trudinger type inequalities under inhomogeneous constraints, Norihisa Ikoma,Michinori Ishiwata,Hidemitsu Wadade, Mathematische Annalen, Springer Science and Business Media LLC, Vol. 373, No. 1-2, p. 831-851, 2019/02
  • Hardy type inequalities in L p $L^{p}$ with sharp remainders, Norisuke Ioku,Michinori Ishiwata,Tohru Ozawa, Journal of Inequalities and Applications, Springer Science and Business Media LLC, Vol. 2017, No. 1, 2017/12
  • A natural approach to the asymptotic mean value property for the p-Laplacian, Michinori Ishiwata,Rolando Magnanini,Hidemitsu Wadade, Calculus of Variations and Partial Differential Equations, Springer Science and Business Media LLC, Vol. 56, No. 4, 2017/08
  • On the effect of equivalent constraints on a maximizing problem associated with the Sobolev type embeddings in $${\mathbb {R } }^N$$ R N, Michinori Ishiwata,Hidemitsu Wadade, Mathematische Annalen, Springer Science and Business Media LLC, Vol. 364, No. 3-4, p. 1043-1068, 2016/04
  • Sharp remainder of a critical Hardy inequality, Norisuke Ioku,Michinori Ishiwata,Tohru Ozawa, Archiv der Mathematik, Springer Science and Business Media LLC, Vol. 106, No. 1, p. 65-71, 2016/01
  • A note on the scale invariant structure of critical Hardy inequalities, Ioku, Norisuke,Ishiwata, Michinori, Geometric properties for parabolic and elliptic PDE's, p. 97-120, 2016
  • On a variational problem associated with a Hardy type inequality involving a mean oscillation, Norisuke Ioku,Michinori Ishiwata, Calculus of Variations and Partial Differential Equations, Springer Science and Business Media LLC, Vol. 54, No. 4, p. 3949-3966, 2015/12
  • Remarks on the Cauchy problem of Klein-Gordon equations with weighted nonlinear terms, Ishiwata, Michinori,Nakamura, Makoto,Wadade, Hidemitsu, Discrete Contin. Dyn. Syst., Vol. 35, No. 10, p. 4889-4903, 2015
  • A Scale Invariant Form of a Critical Hardy Inequality, Norisuke Ioku,Michinori Ishiwata, International Mathematics Research Notices, Oxford University Press (OUP), Vol. 2015, No. 18, p. 8830-8846, 2015
  • Positive solution to semilinear parabolic equation associated with critical Sobolev exponent, Michinori Ishiwata,Takashi Suzuki, Nonlinear Differential Equations and Applications NoDEA, Springer Science and Business Media LLC, Vol. 20, No. 4, p. 1553-1576, 2013/08
  • Multiple positive solutions of semilinear elliptic equations with weight function in exterior domains, Ishiwata, Michinori, Differential Integral Equations, Vol. 26, No. 1-2, p. 183-200, 2013
  • On the existence and nonexistence of maximizers associated with Trudinger-Moser type inequalities in unbounded domains, Ishiwata, Michinori, Nankai Ser. Pure Appl. Math. Theoret. Phys., Vol. 10, p. 41-53, 2013
  • Heat equation with a singular potential on the boundary and the Kato inequality, Kazuhiro Ishige,Michinori Ishiwata, Journal d'Analyse Mathématique, Springer Science and Business Media LLC, Vol. 118, No. 1, p. 161-176, 2012/10
  • Global solutions for a semilinear heat equation in the exterior domain of a compact set, Ishige, Kazuhiro,Ishiwata, Michinori, Discrete Contin. Dyn. Syst., Vol. 32, No. 3, p. 847-865, 2012
  • Existence and nonexistence of maximizers for variational problems associated with Trudinger–Moser type inequalities in $${\mathbb{R}^N}$$, Michinori Ishiwata, Mathematische Annalen, Springer Science and Business Media LLC, Vol. 351, No. 4, p. 781-804, 2011/12
  • On the asymptotic behavior of unbounded radial solutions for semilinear parabolic problems involving critical Sobolev exponent, Michinori Ishiwata, Journal of Differential Equations, Elsevier BV, Vol. 249, No. 6, p. 1466-1482, 2010/09
  • Semilinear parabolic equation in \( R^{N} \) associated with critical Sobolev exponent, Ryo Ikehata,Michinori Ishiwata,Takashi Suzuki, Annales de l'Institut Henri Poincaré C, Analyse non linéaire, European Mathematical Society - EMS - Publishing House GmbH, Vol. 27, No. 3, p. 877-900, 2010/06
  • The decay of the solutions for the heat equation with a potential, Kazuhiro Ishige,Michinori Ishiwata,Tatsuki Kawakami, Indiana Univ. Math. J., Vol. 58, No. 6, p. 2673-2708, 2009