Tsutsumi Yoshio

Affiliation and department：
Job title： Program-specific Professor

Research field (1)： Basic analysis

Research theme for competitive and other funds (42)：

2017 - 2022 Analysis of concentration phenomena for nonlinear wave and dispersive equations
2016 - 2019 Harmonic analysis and probablisticc approaches to stochastic nonlinear dispersive equations
2013 - 2016 Mathematical Analysis for Thermoelasticity and Thermoelastoplasticity
2011 - 2016 Concentration Phenomena and Structure of Solution for Nonlinear Evolution Equations
2011 - 2013 Solvability and asymptotic behavior of solution for stochastic nonlinear dispersive equations

2011 - 2011 非線形波動・分散型方程式の幾何学的対称性と弱解の構造

2007 - 2010 Relations between properties of solutions and geometric symmetry of solutions for nonlinear wave and dispersive equations

2007 - 2009 確率非線形分散型方程式の可解性と解の漸近挙動

2003 - 2007 United theory of existence of global solution and its asymptotic behavior to the nonlinear partial differential equations

2004 - 2006 確率非線形分散型方程式に対する解の存在と漸近挙動の解析

2003 - 2006 Structure of Solutions and Geometric Symmetry for Nonlinear Evolution Equations

2003 - 2005 Large deviations for symmetric Markov processes and Dirichlet forms

2001 - 2004 非線形偏微分方程式の適切性に関する統一理論の構築

2001 - 2003 確率的摂動項を持つ非線形分散型方程式の解析

2001 - 2003 GEOMETRY AND ANALYSIS FOR WAVE FIELDS

2000 - 2002 Geometric invariant, propagation of singularity and asymptotic behavior for nonlinear wave equations

2000 - 2001 Research on a refinement of the energy inequality for weak solutions to the Navier-Stokes equations

2000 - 2001 Symmetric Markov processes and large deviation theory

1999 - 2001 非圧縮性粘性流体の基礎方程式の研究

1999 - 2001 Comprehensive study of differential equations

1997 - 2000 Research on well-posedness for the Navier-Stokes equations

1997 - 2000 Spectral and Scattering Theory for Schrodinger Operators

1997 - 2000 Functional analytic study on global structures of nonlinear fields

1998 - 1999 Analysis of non-linear singularities by microlocal methods

1997 - 1999 Relations between geometric invariant and singularity of solution in nonlinear evolution equations related to nonlinear waves

1997 - 1999 Mathematical studies on spatial and temporal patterns in reaction-diffusion systems

1997 - 1999 Singularly perturbed solutions of reaction-diffusion systems and concentration phenomena

1997 - 1999 Study of singularities arising in nonlinear partial differential differential equations and asymptotic methods

1997 - 1998 Research on partial differential equations and selfadjoint operators of mathematical physics

1996 - 1998 Research of the hydrodynamic limit by probabilistic methods

1996 - 1996 非線形現象に関連した非線形偏微分方程式における解の特異性の生成とその性質

1995 - 1996 Analysis of the structure of solutions of nonlinear partial differential equations

1994 - 1994 線形及び非線性超函数論と超局所解析

1994 - 1994 非線形現象に関連した非線形偏微分方程式における解の特異性の生成とその性質

1994 - 1994 無限自由度の可積分系に関連した非線形波動現象の解析的研究

1993 - 1993 境界値問題及び混合問題の超局所解析

1992 - 1992 偏微分方程式論の幾何学及び確率論的問題への応用

1992 - 1992 無限自由度の可積分系に関連した非線波動現象の解析的研究

1991 - 1992 Microlocal Analysis of Differential Equations

1991 - 1991 非線型偏微分方程式の解の構造の解析

1989 - 1989 リ-群の表現論とその応用

1988 - 1988 ポテンシャル論の研究とその応用について

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Papers (43)：

Nobu Kishimoto, Yoshio Tsutsumi. A priori bounds for the kinetic DNLS. 2019-20 MATRIX Annals. 2021. 797-803
Nobu Kishimoto, Minjie Shan, Yoshio Tsutsumi. Global well-posedness and existence of the global attractor for the Kadomtsev-Petviashvili II equation in the anisotropic Sobolev space. Discrete & Continuous Dynamical Systems - A. 2020. 40. 3. 1283-1307
T. Miyaji, Y. Tsutsumi. Steady-state mode interactions of radially symmetric modes for the Lugiato-Lefever equation on a disk. Commun. Pure Appl. Anal. 2018. 17. 4. 1633-1650
Tomoyuki Miyaji, Yoshio Tsutsumi. LOCAL WELL-POSEDNESS OF THE NLS EQUATION WITH THIRD ORDER DISPERSION IN NEGATIVE SOBOLEV SPACES. DIFFERENTIAL AND INTEGRAL EQUATIONS. 2018. 31. 1-2. 111-132
Tomoyuki Miyaji, Yoshio Tsutsumi. Existence of global solutions and global attractor for the third order Lugiato-Lefever equation on T. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE. 2017. 34. 7. 1707-1725

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MISC (8)：

Global Existence of $L^{2}$ Solutions of the Zakharov Equations with Additive Noises (Mathematical Analysis of Viscous Incompressible Fluid). 2015. 1971. 135-143
Tsutsumi Yoshio. Strichartz Estimate for Schrodinger Equation of Fourth Order with Periodic Boundary Condition (Regularity and Singularity for Partial Differential Equations with Conservation Laws). RIMS Kokyuroku. 2014. 1914. 104-113
堤誉志雄. mKdV 方程式の可解性と函数空間. 京大・理数理研 6。14 (大談話会). 2006
Ozawa Tohru, Tsutaya Kimitoshi, Tsutumi Yoshio. Global Existence and Asymptotic Behavior of Solutions for the Klein-Gordon Equations with Quadratic Nonlinearity in Two Space Dimensions(Mathematical Analysis of Phenomena in fluid and Plasma Dynamics). RIMS Kokyuroku. 1995. 914. 112-118
Ozawa Tohru, Tsutaya Kimitoshi, Tsutsumi Yoshio. Normal form and global solutions for the Klein-Gordon-Zakharov equations(Nonlinear Evolution Equations and Their Applications). RIMS Kokyuroku. 1995. 898. 94-103

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