- 2012 - 2016 Refinement of classical inequalities and its application to elliptic variational problems
- 2009 - 2012 SPECTRALANALYSISOFQUANTUMHAMILTONIANSATTHRESHODENERGIES
- 2010 - 2011 Hyoellipticity and Schroedinger operators with magnetic fields
- 2009 - 2011 Semi-classical Analysis for Schrodinger Equations
- 2008 - 2011 On the improvement of classical inequalities and its applications to nonlinear degenerate elliptic equations
- 2007 - 2010 Phase Space Analysis of Partial Differential Equations
- 2007 - 2008 Semi-classical Analysis of Schroedinger Equations
- 2006 - 2007 Analysis of properties of the solutions to Scrodinger equations via canonical transforms
- 2005 - 2007 The fundamental solution for the heat equation on manifolds and its applications
- 2003 - 2006 Generalized eigenfunctions of relativistic Schroedinger operators, pseudo-differential operators and their related topics
- 2001 - 2003 Study of Smoothing Effects and Related Problems
- 2000 - 2001 On the construction of the Seiberg-Witten equation over CR
- 1998 - 2000 Smoothing Effects in Dispersive Equations
- 1997 - 2000 ON THE GENERALIZED FOURIER TRANSFORMS ASSOCIATED RELATIVISTIC SCHRODINGER OPERATORS
- 1997 - 1998 Construction of the fundamental solution for equations of parabolic type and its applications to geometric problems
- 1995 - 1995 量子群SUq(1,1)のユニタリー表現のテンリル積の分解
- 1995 - 1995 リー環と代数群の構造と応用
- 1994 - 1994 双曲型方程式の初期値問題
- 1993 - 1993 非線形発展方程式の解の構造の研究
- 1992 - 1992 双曲型作用素の研究
- 1992 - 1992 徴分方程式および作用素論と関連分野の研究
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