Otani Mitsuharu

オオタニミツハル | Otani Mitsuharu

Affiliation and department：
Job title： Professor Emeritus
Homepage URL (1)： http://www.phys.waseda.ac.jp/otani/index-j.htlm

Research field (1)： Basic analysis

Research keywords (1)： Nonlinear, Functional Analysis, Partial Differential Equation, Calculus of Variations

Research theme for competitive and other funds (37)：

2018 - 2022 放物型方程式論の深化と放物型性の起源の探索
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
2015 - 2018 Study on nonlinear partial differential equations with set-valued perturbations
2015 - 2017 集合値摂動項を持つ非線形偏微分方程式の研究
2011 - 2016 Deepening of the theory of viscosity solutions and its applications

2013 - 2016 変分的手法による非線形楕円型方程式の大域的解析

2012 - 2015 Study on reaction-diffusion equations and related free boundary problems

2012 - 2015 Study for hierarchical structure underlying between hyperbolicity and parabolicity

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 - 2009 Studies on dynamical systems of nonlinear phenomena with energy dissipation and the theory of stability

2006 - 2008 Research on the structure of solutions for nonlinear systems of reaction-diffusion equations

2006 - 2008 非線形放物型方程式のアトラクターの研究

2005 - 2007 Variational study of nonlinear problems

2004 - 2007 Integrated Study for Nonlinear Evolution Equations and Nonlinear Elliptic Equations

2004 - 2005 劣微分作用素に対する非単調摂動理論とその物質科学への応用

2003 - 2005 Research of System of Nonlinear Diffusion Equations and Related Elliptic Differential Equations

2002 - 2004 Study of nonlinear differential equations via variational methods

2001 - 2004 Research on the structure and stability of the dynamical system describing phase transition phenomena

2000 - 2003 Study on Nonlinear Evolution Equations and Nonlinear Elliptic Equations

2000 - 2002 Analysis of nonlinear diffusion equations and related phase transition problems

1999 - 2001 Variational study of nonlinear diffential equations

1999 - 2000 Modelling and analysis of nonlinear phenomena with phase transitions

1997 - 2000 On the Ginzburg-Landau model in the presence of an externally imposed magnetic field

1997 - 1999 Study of nonlinear prabolic systems and related elliptic systems

1997 - 1999 Nonlinear Evolution Equations and Elliptic Equations

1997 - 1998 Mathematical Research of Nonlinear Phenomena with Phase Transitions

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.

1994 - 1994 非線形偏微分方程式系の総合的研究

1993 - 1993 非線型放物型方程式系及び楕円型方程式系にたいする解集合の研究

1991 - 1991 場の理論の数学

1989 - 1989 極の存在についての研究

対称臨界性原理とその非線形偏微分方程式への応用

RESEARCH ON THE THEORY OF VISCOSITY SOLUTIONS OF DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS

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Papers (60)：

Kosuke Kita, Mitsuharu Ôtani. On a comparison theorem for parabolic equations with nonlinear boundary conditions. Advances in Nonlinear Analysis. 2022. 11. 1. 1165-1181
Mitsuharu Otani, Shun Uchida. Attractors for autonomous double-diffusive convection systems based on Brinkman-Forchheimer equations. MATHEMATICAL METHODS IN THE APPLIED SCIENCES. 2016. 39. 12. 3328-3349
Mitsuharu Otani, Shun Uchida. GLOBAL SOLVABILITY FOR DOUBLE-DIFFUSIVE CONVECTION SYSTEM BASED ON BRINKMAN-FORCHHEIMER EQUATION IN GENERAL DOMAINS. OSAKA JOURNAL OF MATHEMATICS. 2016. 53. 3. 855-872
Messoud A. Efendiev, Mitsuharu Otani. Infinite-dimensional attractors for parabolic equations with p-Laplacian in heterogeneous medium. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE. 2011. 28. 4. 565-582
G. Akagi, M. Otani. On some macroscopic models for type-II superconductivity. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. 2005. 63. 5-7. E1155-E1166

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MISC (3)：

Chjan C. Lim, Mitsuharu Otani, Junping Shi. Special issue on variational problems and applications - Preface. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. 2007. 19. 2. I-IV
Akagi Goro, Otani Mitsuharu. Doubly nonlinear evolution equation and its applications (Evolution Equations and Asymptotic Analysis of Solutions). RIMS Kokyuroku. 2004. 1358. 117-137
Otani Mitsuharu, Sugiyama Yoshie. Smooth Solutions of Porous Medium Equations (Nonlinear Diffusive Systems--Dynamics and Asymptotics). RIMS Kokyuroku. 2000. 1178. 1178. 150-161

Works (1)：

An introduction to nonlinear evolution equations,発展方程式若手セミナーSummer Seminar Note
1983 -

Education (2)：

- 1978 university of Tokyo Graduate School, Division of Science
- 1973 Waseda University School of Science and Engineering Department of Applied Physics

Professional career (2)：

Doctor of Science (University of Tokyo)
(BLANK) (University of Tokyo)

Work history (5)：

1981 - 1990 ;Associate Professor, Department of Math. Faculty of Sci. Tokai. Univ.
1990 - ;Professor, Department of Applied Physics, Waseda University
1990 - ;Professor, Dept. of Math. Faculty of Sci. Tokai Univ.
1981 - 1983 ;Visiting Researcher Supported by French Government/Lab. Analyse Numerique Paris (]G0006[) Univ. France
1978 - 1981 Lecturer, Department of Mathematics, Faculty of Science, Tokai Univ.

Association Membership(s) (1)：

日本数学会

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