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J-GLOBAL ID：200901019571256682 Update date: Jan. 30, 2024

Kurata Kazuhiro

クラタカズヒロ | Kurata Kazuhiro

Affiliation and department：
Job title： Professor
Homepage URL (1)： https://tmu-kurata.fpark.tmu.ac.jp/

Research field (1)： Basic analysis

Research keywords (8)：非線形解析 , 変分問題 , 偏微分方程式 , 基礎解析 , Nonlinear Analysis , Variational Problems , Partial Differential Equations , Basic Analysis

Research theme for competitive and other funds (47)：

2022 - 2025 変分問題、最適化問題と非線形偏微分方程式の総合的研究
2019 - 2023 変分問題、最適化問題と非線形偏微分方程式の総合的研究
2017 - 2021 複雑領域のポテンシャル解析の深化-非線形PDEと理想境界への応用
2016 - 2019 Study on variational problems, optimization problems and nonlinear partial differential equations
2014 - 2018 Geometry of solutions of partial differential equations and the inverse problems accompanied by it

2013 - 2018 Variational study of nonlinear elliptic problems

2013 - 2017 Analysis of the nonlinear elliptic eigenvalue problems and inverse problems

2013 - 2016 Study on variational problems, optimization problems and nonlinear partial differential equations

2010 - 2012 Study of structures of solutions to variational problems, optimization problems and nonlinear partial differential equations

2009 - 2012 Asymptotic analysis and inverse problems of the nonlinear elliptic eigenvalue problems

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

2008 - 2011 A comprehensive study of nonlinear problems via variational approaches

2008 - 2010 Computational harmonic analysis, new development of approximation

2007 - 2008 Research for asymptotic behavior of solutions of nonlinear differential equations

2006 - 2008 Study of the structure of solutions to variational problems, optimization problems, linear and nonlinear partial differential equations

2005 - 2008 Asymptotic analysis of the nonlinear elliptic eigenvalue problems

2005 - 2008 Spectral analysis of elliptic operators with singular domain deformation and coefficients degeneration

2005 - 2007 Variational study of nonlinear problems

2004 - 2006 Numerical harmonic analysis and its applications to image analysis and computational mathematics

2003 - 2005 Study of the structure of solutions to Variational Problems, Inverse Problems and Partial Differential Equations

2002 - 2004 Study of nonlinear differential equations via variational methods

2002 - 2004 Analysis on the nonlinear elliptic eigenvalue problems

2001 - 2004 A synthetic study of positive solutions to elliptic and parabolic partial differential equations

2001 - 2003 Analysis of linear and nonlinear wave phenomena and the inverse problem

2001 - 2003 Mathematical analysis of scattering phenomena and inverse problems

2000 - 2003 Changes of configuration in free boundary problems

2001 - 2002 Study of Solutions to Partial Differential Equations, Variational Problems and Inverse Problems

2000 - 2002 Numerical Analysis for Inverse Problems and Applications of Wavelet Analysis

2000 - 2001 Study of asymptotic behavior of solutions of differential equations

1999 - 2001 Variational study of nonlinear diffential equations

1999 - 2000 Study of Solutions to Partial Differential Equations, Variational problems and Inverse. Problems

1999 - 2000 A versatile study of positive solutions to parabolic and elliptic partial differential equations

1998 - 1999 Mathematics of Schrodinger Equations

1998 - 1999 Free boundary problems in potential theory

1997 - 1999 Analysis of Nonlinear Waves and Nonlinear Diffusions

1997 - 1998 超曲面の曲率流における待ち時間の研究

1997 - 1998 Study of singular solutions of nonlinear differential equations

1997 - 1998 Study of Harmonic Analysis, Solutions to Variational Problems and Partial Differential Equa

1997 - 1998 Structure of positive solutions to second order elliptic and parabolic partial differential equations

1996 - 1998 Study on harmonic analysis, partial differential equations and complex analysis

1996 - 1996 調和解析と偏微分方程式の解の研究とその応用

1996 - 1996 Hamilton-Jacobi 方程式に対する特異摂動問題の研究

1996 - 1996 幾何学に現れる非線形微分方程式

1995 - 1995 調和解析及び偏微分方程式の解の研究と応用

1994 - 1995 Solutions of Differential Equations and Applications

偏微分方程式の解の性質の研究

Study on Properties of Solutions for Partial Differential Equations

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Papers (47)：

Kazuhiro Kurata, Ryusei yamashita. Reconstruction of the defect by the enclosure method for inverse problems of the magnetic Schrödinger operator. Tokyo J. of Mathematics. 2022. 45. 2. 547-577
Kazuhiro Kurata, Yuki Osada. Variational problems associated with a system of nonlinear Schrödinger equations with three wave interaction. Disc. Conti. Dyna. Sys. 2022. 27. 3. 1511-1547
Yuta Ishii, Kazuhiro Kurata. Existence of multi-peak solutions to the Schnakenberg model with heterogeneity on metric graphs. Communications on Pure and Applied Analysis. 2021. 20. 4. 1633-1679
Kazuhiro Kurata, Yuki Osada. Asymptotic expansion of the ground state energy for nonlinear Schrödinger system with three wave interaction. Communications on Pure and Applied Analysis. 2021. 20. 12. 4239-4239
Kazuhiro Kurata, Masataka Shibata. Least energy solutions to semi-linear elliptic problems on metric graphs. Journal of Mathematical Analysis and Applications. 2020. 491. 1. 124297-124297

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MISC (46)：

Jimbo Shuichi, Kurata Kazuhiro. Asymptotic behavior of eigenvalues of the Laplacian with the mixed boundary condition and its application (Geometry of solutions of partial differential equations). RIMS Kokyuroku. 2013. 1850. 127-137
Kurata Kazuhiro. Existence of multiple stable stationary patterns to some reaction-diffusion equation in heterogeneous environments (Theory of Biomathematics and its Applications VI). RIMS Kokyuroku. 2010. 1704. 195-202
Kurata Kazuhiro. Existence of multiple spike stationary patterns in a chemotaxis model with weak saturation (New Developments of Functional Equations in Mathematical Analysis). RIMS Kokyuroku. 2010. 1702. 149-157
Kawashima Shuichi, Kurata Kazuhiro. A Hardy type inequality and application to the stability of degenerate stationary waves (Mathematical Analysis in Fluid and Gas Dynamics). RIMS Kokyuroku. 2009. 1631. 34-46
Kurata Kazuhiro, Matsuzawa Hiroshi. Multiple stable patterns in a balanced bistable equation with heterogeneous environments (Variational Problems and Related Topics). RIMS Kokyuroku. 2008. 1591. 134-142

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Books (8)：

フーリエ解析の基礎と応用
数理工学社,サイエンス社 (発売) 2020 ISBN:9784864810678
楕円型・放物型偏微分方程式
岩波書店 2002
A Liouville type Theorem for the Ginzburg-Laudau equations with General Potentials
Discrete and Continuous Dynamical Systems(Edited by W. Chen, S. Hu) 1998
「偏微分方程式.1」(岩波講座.『現代数学の基礎』(共著)
岩波書店 1997
On Some Symmetry property of solutions to the scalar curvature equation(共著)
Functional Analysis and Global Analysis(Edited by T. Sinada, P. W. Sy), Springer 1997

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Education (4)：

- 1986 The University of Tokyo
- 1986 The University of Tokyo Graduate School, Division of Natural Science
- 1984 The University of Tokyo College of Arts and Sciences
- 1984 The University of Tokyo Faculty of Liberal Arts

Professional career (2)：

Master of Science (The University of Tokyo)
PhD(Mathematical Science) (The University of Tokyo)

Work history (9)：

2020/04 - 現在 Tokyo Metropolitan University Graduate School of Science Professor
2018/04 - 2020/03 Tokyo Metropolitan University Graduate School of Science Professor
2005/04 - 2018/03 Tokyo Metropolitan University, Department of Mathematics and Information Sciences Professor
2002/04 - 2005/03 東京都立大学大学院理学研究科教授
2002 - - Tokyo Metropolitan University, Professor

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Association Membership(s) (2)：

アメリカ数学会 , 日本数学会

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