Ishiwata Michinori

Affiliation and department：

Research field (1)： Mathematical analysis

Research keywords (1)：非線型解析

Research theme for competitive and other funds (23)：

2023 - 2027 非コンパクト型変分問題の爆発・消失現象と領域・作用素の特異幾何構造の相関
2019 - 2024 Systematical geometric analysis and asymptotic analysis for evolution equations
2020 - 2023 On the analysis of critical type equation involving a noncompact structure from the profile-decomposition point of view
2019 - 2023 臨界型変分問題における領域の幾何の影響-解空間大域構造とコンパクト性喪失機構-
2017 - 2022 Analysis of the molecular mechanism for formation and breakdown of biotissues by mathematical modeling

2017 - 2022 Analysis of singular nonlinear structure in dissipative systems

2017 - 2020 A study of asymptotic behavior of threshold orbit arising in gradient systems with noncompact energy structure

2015 - 2020 Fusion and evolution of asymptotic analysis and geometric analysis in partial differential equations

2015 - 2019 Study on nonlinear partial differential equations with set-valued perturbations

2015 - 2019 Global / Geometric structure of solutions to elliptic PDE's via higher-order information of associated variational functionals

2014 - 2017 Explore of undiscovered variational principles in function spaces in real analysis

2012 - 2017 Systematic studies on the profile and behavior of solutions of partial differential equations

2011 - 2015 Global and asymptotic analysis of critical variational problems with mass/energy concentration phenomena

2011 - 2013 A study on the elliptic and the parabolic equations associated with noncompact variational structures

2009 - 2012 Synthetic study of nonlinear evolution equation and its related topics

2008 - 2012 Analysis for nonlinear critical phenomena described by mean field equations

2007 - 2010 A study on the asymptotic behavior of infinite-time blow up solutions for parabolic equations involving critical Hardy-Sobolev exponent

2007 - 2009 非局所相互作用系と完全可積分構造の関連の探索

2004 - 2006 ソボレフ臨界指数をもつ非線形放物型方程式の解の漸近挙動に関する研究

2003 - 2005 対称臨界性原理とその非線形偏微分方程式への応用

2002 - 2004 Study of nonlinear differential equations via variational methods

非線型偏微分方程式の変分法的手法による解析

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Papers (24)：

Hidemitsu Wadade, Michinori Ishiwata. Vanishing-concentration-compactness alternative for critical Sobolev embedding with a general integrand in $$\mathbb R^2. Calculus of Variations and Partial Differential Equations. 2021. 60. 6
E. W. Chandra, M. Ishiwata, R. Magnanini, H. Wadade. Variational p-harmonious functions: existence and convergence to p-harmonic functions. Nonlinear Differential Equations and Applications NoDEA. 2021. 28. 5. No51
Michinori Ishiwata, Bernhard Ruf, Federica Sani, Elide Terraneo. Asymptotics for a parabolic equation with critical exponential nonlinearity. Journal of Evolution Equations. 2021. 21. 2. 1677-1716
Michinori Ishiwata, Hidemitsu Wadade. On the effect of inhomogeneous constraints for a maximizing problem associated with the Sobolev embedding of the space of functions of bounded variation. Studia Mathematica. 2021. 257. 2. 213-240
Ishiwata, Michinori, Ruf, Bernhard, Sani, Federica, Terraneo, Elide. A potential well argument for a semilinear parabolic equation with exponential nonlinearity. MATRIX annals. 2020. 3. 265-273

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Education (4)：

Professional career (1)：

Association Membership(s) (1)：

日本数学会

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