- 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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