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J-GLOBAL ID：200901077256357209 Update date: Mar. 11, 2025

Misawa Masashi

ミサワマサシ | Misawa Masashi

Affiliation and department：
Job title： Professor

Research field (1)： Mathematical analysis

Research keywords (6)：偏微分方程式 , 解析学 , 数学 , Partial Differential Equations , Analysis , Mathematics

Research theme for competitive and other funds (47)：

2021 - 2024 Nonlocal regularity for a geometric heat flow with fractional integral operator
2019 - 2022 「多成分偏微分方程式系の解析的研究」
2018 - 2022 Regularity for doubly nonlinear degenerate and singular parabolic equations and a geometric flow
2015 - 2018 Monotonicity estimates and local regularity and singularity for the p-harmonic flows
2014 - 2018 Geometry of solutions of partial differential equations and the inverse problems accompanied by it

2013 - 2016 Diffusion wave property of the solutions to the system of the viscous fluid flow

2012 - 2015 Regularity for the evolutionary p-Laplace operator and global existence of the p-harmonic map flows

2012 - 2015 Complexity structure analysis on the orbits of solutions of nonlinear partial differential equations by p-adic analysis

2008 - 2013 Research for Critical Asymptotic Structure of Nonlinear Evolution Equations

2010 - 2012 Structure of the solutions to the system ofcompressible fluid

2008 - 2012 Analysis for nonlinear critical phenomena described by mean field equations

2008 - 2012 Diffusion and Geometry of Domain

2009 - 2011 A regularity criterion for the harmonic map flows and asymptotic analysis for singularity

2009 - 2011 Complexity analysis on orbits of solutions of nonlinear partial differential equations

2007 - 2010 Toward a unified understanding of general hypergeometric functions and general Schlesinger system by twistor theory

2007 - 2008 Mathematical research on regularity and singularity for the m-harmonic map flows and energy quantization phenomenon

2006 - 2007 REGULARITY ANALYSIS OF DISCRETE MORSE FLOWS FOR ANARISYS OF GENERAL CRITICAL POINTS

2006 - 2007 Analysis on the fractal structure of complexity solutions for nonlinear differential equations

2007 - 調和写像流の正則性特異性の漸近解析

2007 - Regularity and singularity for harmonic map flows

2005 - 2006 Study on Regularity and Singularity of a weak solution to the m-harmonic maps and the evolution

2003 - 2006 General hypergeometric functions and geometry of the space of arrangements of points with infinitesimal neighborhoods

2003 - 2006 Reseach for the singularities and regularity of solutions to crtical nonlinear partial differential equations

2004 - 2005 離散モース流とその正則性解析:モース流の構成・一般臨界点解析を目指して

2004 - 2005 Analysis on the fractal structure of quasi periodic orbits for nonlinear evolution equations

2003 - 2004 Study on Regularity and Singularity of Minimal Surfaces in Higher Dimensions and The Evolution

2002 - 2003 ある差分方程式の解の系列に関する研究

2002 - 2003 Analysis on the structure of quasi periodic attractors for nonlinear partial differential equations

2002 - 2002 多変数変分問題の臨界点解析・非線形最適化の数理解析

2001 - 2002 The structure and classification of complex analytic compactifications of C^n with the second Betti number equal to one

2001 - 2002 Search for an approach to general critical points of variational problems materials science

2000 - 2002 Study of partial differential equations appearing in continuum mechanics and utlization of mathematical softwares

2001 - 2001 粘性流体と分散型非線形方程式研究に関する日韓国際共同研究

2000 - 2001 P-調和写像の正則性とエネルギー集中現象の解析

1999 - 2001 Morse theory of variational problems

1999 - 2000 Topology related to Mathematical Physics and Numerical Computations

1998 - 1999 Partial Differential Equations for Vector-Valued Functiions and Utilization of Symbolic Computation Systems

1997 - 1998 Fundamental Research and Applied Numerical Analysis in Partial Differential Equations and Functional Partial Differential Equations

1997 - 1998 Topology, its Applications to Mathematical Physics and Numerical Computations

1996 - 1996 P-調和写像型変分問題の研究と液晶の数理解析

1995 - 1995 粘性のある液晶の変分問題と退化発展方程式系の研究

1995 - 1995 変分問題と非線形の世界・液晶解析を主題として

1994 - 1994 液晶の数理解析と変分問題の研究

1994 - 1994 変分問題と大域解析学

1994 - 1994 液晶の数理解析

1990 - 変分問題に現れる非線形偏微分方程式の解の存在と正則性

1990 - Nonlinear partial differential equations in the calculus of variations

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Papers (18)：

Nobuyuki Kato, Masashi Misawa, Kenta Nakamura, Yoshihiko Yamaura. Existence for doubly nonlinear fractional p-Laplacian equations. Annali di Matematica Pura ed Applicata (1923 -). 2024
Masashi Misawa. Expansion of positivity for doubly nonlinear parabolic equations and its application. Calculus of Variations and Partial Differential Equations. 2023. 62. 9
Masashi Misawa, Kenta Nakamura, Md Abu Hanif Sarkar. A finite time extinction profile and optimal decay for a fast diffusive doubly nonlinear equation. Nonlinear Differential Equations and Applications NoDEA. 2023. 30. 3
Masashi Misawa, Kenta Nakamura, Yoshihiko Yamaura. A volume constraint problem for the nonlocal doubly nonlinear parabolic equation. Mathematics in Engineering. 2023. 5. 6. 1-26
Masashi Misawa, Nobumitsu Nakauchi. On the finite-time blow-up of symphonic map flows. I. 2023. 36. 1-2. 93-132

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MISC (46)：

Kenta Nakamura, Masashi Misawa. Existence of a weak solution to the p-Sobolev flow. Nonlinear Analysis, Theory, Methods and Applications. 2018. 175. 157-172
Masashi Misawa, Nobumitsu Nakauchi. Global existence for the heat flow of symphonic maps into spheres. Advances in Differential Equations. 2018. 23. 693-724
Masashi Misawa. Regularity for the evolution of p-harmonic maps. JOURNAL OF DIFFERENTIAL EQUATIONS. 2018. 264. 3. 1716-1749
Corina Karim, Masashi Misawa. Existence of global weak solutions for Cauchy-Dirichlet problem for evolutional p-Laplacian systems. AIP Conference Proceedings. 2017. 1913
Masashi Misawa, Nobumitsu Nakauchi. A Holder continuity of symphonic maps into the spheres. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. 2016. 55. 1. 1-20

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Books (1)：

これからの非線形偏微分方程式
日本評論社 2007

Lectures and oral presentations (37)：

Concentration phenomenon for the Sobolev flow
(Saga Workshop on Partial Differential Equations 2025)
Global existence and concentration phenomenon for the Sobolev flow
(Analysis Seminar in Department of Mathematics of Naples University, Federico II 2024)
Regularity for doubly nonlinear parabolic type equations by the positivity-expansion
(Analysis Seminar at Aalto university 2024)
Positivity-propagation for doubly nonlinear parabolic type equations and its application to regularity
(The 49th Sapporo Symposium on Partial Differential Equations 2024)
Regularity for doubly nonlinear parabolic type equations
(OIST Geometric PDE and Applied Analysis Seminar 2024)

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Works (12)：

m調和写像流の正則性特異性とエネルギー量子化の研究
2007 - 2008
m調和写像とその時間発展の弱解の正則性と特異性の解析
2005 - 2007
離散モース流とその正則性解析:モース流の構成・一般臨界点解析を目指して
2004 - 2006
非線形発展方程式系における準周期的解軌道のフラクタル構造解析
2004 - 2006
極小曲面とその時間発展の有界変動解の正則性と特異性の解析
2003 - 2005

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Professional career (1)：

Doctor of Science (Keio University)

Association Membership(s) (2)：

日本応用数理学会 , 日本数学会

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