- 2021 - 2025 国際環境協定の動学ゲーム分析
- 2020 - 2025 完全非線形方程式の粘性解の正則性理論とその応用
- 2020 - 2023 粘性解理論の進展:漸近問題と境界値問題
- 2018 - 2021 地球温暖化問題における割引率と国際環境協定に関する研究
- 2016 - 2020 粘性解の理論と応用の新展開
- 2015 - 2018 対数型ソボレフの不等式の理論の深化と応用
- 2011 - 2016 粘性解理論の深化と応用
- 2009 - 2011 ハミルトン・ヤコビ方程式のオーブリー・マザー理論の新展開とその応用
- 2006 - 2010 微分方程式の粘性解理論とその応用の研究
- 2006 - 2009 微分方程式の粘性解理論とその応用の研究
- 2004 - 2007 非線形発展方程式と非線形楕円型方程式の総合的研究
- 2003 - 2006 粘性解の理論と応用の研究
- 2002 - 2005 粘性解と変分問題
- 2002 - 2004 粘性解と変分問題
- 2000 - 2003 微分方程式の粘性解とその応用の研究
- 1997 - 2000 粘性解の理論と応用
- 1997 - 1999 超曲面の曲率流における待ち時間の研究
- 1999 - 1999 相転移と自由境界問題
- 1997 - 1999 非線形波動及び非線形拡散の解析
- 1997 - 1998 超曲面の曲率流における待ち時間の研究
- 1996 - 1997 Hamilton-Jacobi 方程式に対する特異摂動問題の研究
- 1995 - 1996 非線形偏微分方程式の粘性解とその応用の研究
- 1995 - 1996 粘性解とその応用に関する共同研究
- 1996 - 1996 Hamilton-Jacobi 方程式に対する特異摂動問題の研究
- 1995 - 1995 位相幾何学的グラフ理論の研究
- 1994 - 1994 非線形偏微分方程式と粘性解の研究
- 1992 - 1993 非線形楕円型及び放物型偏微分方程式の研究 研究課題
- 1993 - 1993 指標理論のリーマン面の自己同型群への応用
- 1993 - 1993 空間型内の極小部分多様体について
- 1990 - 1992 非線形退化楕円型偏微分方程式の研究
- 1991 - 1991 微分方程式の不確定型特異点の研究
- 1991 - 1991 偏微分方程式の初期値問題
- 1988 - 1990 リ-マン多様体のスペクトラムについて
- 1988 - 1990 リ-マン多様体のスペクトラムについて
- 1987 - 1989 代数曲線の巡回拡大の変形について
- 1986 - 1986 曲線とその自己同形の標数零への引き上げについて
- 1984 - 1985 ハミルトン・ヤコビ方程式の研究
- 1980 - 1981 非線形偏微分方程式の解の周期性・概周期性に関する研究
- Study on periodicity and almost periodicity of solutions of nonlinear partial differential equations
- A study of Hamilton-Jacobi equations
- Some investigations on Riemann surfaces
- On spectrum of Riemannian manifold
- A study on nonlinear degenerate elliptic partial differential equations
- On the deformations of cyclic Galois coverings of algebraic curves
- Initial value problem for partial differential equations
- Comprehensive Researches of Differential Equations
- Study of irregular singularities of differential equations
- Deformation theory of group schemes and Construction of extensions
- Synthetic study on differential equations
- Joint Study on Viscosity Solutions and Their Applications
- Study on singular perturbation problem for Hamilton-Jacobi equation
- Applications to the optimal control and differential game via the viscosity solution theory
- Nonlinear Evolution Equations and Elliptic Equations
- Theory and applications of viscosity solutions
- Free boundary problems in potential theory
- Phase transition and free boundary problem
- Study of Solutions to Partial Differential Equations, Variational problems and Inverse. Problems
- Changes of configuration in free boundary problems
- Study on Optimal Controls and Differential Games via the Viscosity Solution Theory
- Study on Nonlinear Evolution Equations and Nonlinear Elliptic Equations
- Research on viscosity solutions of differential equations and their applications
- Bellman equations of risk-sensitive stochastic and their applications
- Nonlinear elliptic and parabolic PDEs, theories and applications
- Viscosity solutions and variational problems
- Research on the theory of viscosity solutions and its applications
- Synthetic study for nonlinear evolution equations and eonlinear elliptic equations
- On the study of the theory of viscosity solutions and its new developments
- Expected utility maximiaation problems and stochastic control
- Study on asymptotic solutions of Hamilton-Jacobi equations based on the theory of viscosity solutions
- Structures created and preserved in nonlinear diffusion field
- Development of the methods of stochastic control and filtering in mathematical finance
- Viscosity solution theory for fully nonlinear equations and its applications
- Development of Analysis on Evolving Pattern for Complicated Phenomena
- Synthetic study of nonlinear evolution equation and its related topics
- Fundamental theory for viscosity solutions of fully nonlinear equations and its applications
- Advanced Analysis on Evolving Patterns in Nonlinear Phenomena Driven by Singular Structure
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