- 2022 - 2025 非局所非線形楕円型方程式に対する特異摂動解析
- 2019 - 2024 古典場の理論における微分型相互作用の数学解析
- 2018 - 2023 Research on Dispersive Equations and Harmonic Analysis
- 2017 - 2022 変分的手法による非局所非線形楕円型方程式の研究
- 2016 - 2019 Study on null forms in global space-time in the framework of equalities
- 2014 - 2019 Mathematical Analysis of Critical Interactions in Classical Fields
- 2013 - 2017 Analysis of the nonlinear elliptic eigenvalue problems and inverse problems
- 2013 - 2017 Research of Navier-Stokes equations in undounded domains by real analysis and the energy method
- 2013 - 2017 Variational study of nonlinear elliptic problems
- 2013 - 2016 Study on variational problems, optimization problems and nonlinear partial differential equations
- 2013 - 2016 Study on oscillation and singularity in mass resonance
- 2012 - 2015 Study on reaction-diffusion equations and related free boundary problems
- 2009 - 2014 Studies on a unified point of view on global theories of nonlinear elliptic equations
- 2011 - 2013 Study on asymmetry and anisotropy in blow-up theory for nonlinear parabolic equations
- 2010 - 2013 Study of structures of solutions to variational problems, optimization problems and nonlinear partial differential equations
- 2009 - 2013 Asymptotic analysis and inverse problems of the nonlinear elliptic eigenvalue problems
- 2009 - 2012 Study on the Navier-Stokes equations on unbounded domains by way of real analysis
- 2009 - 2012 Synthetic study of nonlinear evolution equation and its related topics
- 2009 - 2011 Analysis of Reaction-Diffusion Systems and Related Nonlinear Problems
- 2008 - 2011 A comprehensive study of nonlinear problems via variational approaches
- 2006 - 2008 Research on the structure of solutions for nonlinear systems of reaction-diffusion equations
- 2006 - 2008 Study of the structure of solutions to variational problems, optimization problems, linear and nonlinear partial differential equations
- 2005 - 2008 Research on the Navier-Stokes equations in various unbounded domains by using theory of function spaces
- 2005 - 2008 Asymptotic analysis of the nonlinear elliptic eigenvalue problems
- 2005 - 2007 Research of applied analysis toward the global theory for nonlinear systems
- 2005 - 2007 Variational study of nonlinear problems
- 2004 - 2007 Integrated Study for Nonlinear Evolution Equations and Nonlinear Elliptic Equations
- 2003 - 2006 Study of the stability of solutions to some nonlinear evolution equations based on recent development of real analysis
- 2003 - 2006 Study of the stability of solutions to some nonlinear evolution equations based on recent development of real analysis
- 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
- 2003 - 2005 Research of System of Nonlinear Diffusion Equations and Related Elliptic Differential Equations
- 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 Research of the Navier-Stokes exterior problem by using dual semigmups and the Lorentz spaces
- 2001 - 2003 Structure of solutions to the system of equations describing chemotactic aggregation of cellular slime molds
- 2000 - 2003 Study on Nonlinear Evolution Equations and Nonlinear Elliptic Equations
- 2000 - 2003 Real analytic approach to the stability theory of nonlinear evolution equations
- 2001 - 2002 Study of Solutions to Partial Differential Equations, Variational Problems and Inverse Problems
- 2000 - 2002 Analysis of nonlinear diffusion equations and related phase transition problems
- 2000 - 2001 Research on the nonlinear elliptic eigenvalue problems by variational methods
- 1999 - 2001 Variational study of nonlinear diffential equations
- 1999 - 2000 Analysis of dynamical systems and related topics in geometry
- 1999 - 2000 Structure of solutions to Keller-Segel system
- 1999 - 2000 Study of Solutions to Partial Differential Equations, Variational problems and Inverse. Problems
- 1998 - 1999 Studies on Eigenvalue Problems of Nonlinear Elliptic Equations
- 1997 - 1999 Nonlinear Evolution Equations and Elliptic Equations
- 1997 - 1998 Study of Harmonic Analysis, Solutions to Variational Problems and Partial Differential Equa
- 1997 - 1998 Boundary conditions for gavge coupled Dirac operators and their invariants.
- 1997 - 1998 変分問題およびその非線型微分方程式への応用
- 1997 - 1998 Various problems in Hamiltonian dynamical systems and related topics in geometry and analysis
- 1996 - 1996 非線形放物型方程式系と関連する楕円型方程式系の研究
- 1996 - 1996 非線形楕円型方程式とその周辺に関する研究
- 1994 - 1996 MATHEMATICAL ANALYSIS AND NUMERICAL ANALYSIS OF SEVERAL KINDS OF DIFFERENTIAL EQUATIONS.
- 1995 - 1995 変分的アプローチによるハミルトン力学系の研究
- 1991 - 1992 Potential-kernels of logarithmic type and their applications
- 1991 - 1991 極小曲面のindexについて
- 非線形放物型方程式のアトラクターの研究
- New development of the qualitative theory of nonlinear parabolic and elliptic equations
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