- 2009 - 2012 Synthetic study of nonlinear evolution equation and its related topics
- 2008 - 2012 Diffusion phenomenon of solutions for the damped wave equation
- 2007 - 2010 Time global structure of solutions of nonlinear conservation law with viscosity and relaxation
- 2004 - 2007 Stability of nonlinear waves in viscous conservation system together with diffusion phenomena of solutions of damped wave equation
- 2003 - 2006 Research on global solutions in time and their asymptotic behaviors for viscous and relaxation models of conservation laws
- 2002 - 2004 Large time behavior of solutions to equations for viscous gas over multi-dimensional half space
- 2001 - 2003 Stability of nonlinear waves for hyperbolic conservation laws will viscosity
- 1998 - 2000 Asymptotic Behavior of solutions to viscous hyperbolic conservation laws
- Integrated Study for Nonlinear Evolution Equations and Nonlinear Elliptic Equations
- 双曲型性と放物型性との間に横たわる階層構造の解明
- 消散型波動方程式の解の拡散現象と波動現象
- 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
- 非線形楕円型方程式とその周辺に関する研究
- Study of nonlinear prabolic systems and related elliptic systems
- Study on Nonlinear Evolution Equations and Nonlinear Elliptic Equations
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