Rchr
J-GLOBAL ID:200901077256357209
Update date: Sep. 05, 2024
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
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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
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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
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Masashi Misawa, Nobumitsu Nakauchi. On the finite-time blow-up of symphonic map flows. I. 2023. 36. 1-2. 93-132
more...
MISC (46):
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 (32):
-
Concentration phenomenon for the Sobolev flow
(Asia-Pacific Analyis and PDE Seminar 2023)
-
ソボレフ流の体積エネルギー集中現象について
(大阪大学微分方程式セミナー 2023)
-
Global existence for the p-Sobolev flow
(Frontiers of gradient flows: well-posedness, asymptotics, singular limits" at the ICIAM 2023 Tokyo 2023)
-
Expansion of positivity and H\"older regularity for doubly nonlinear parabolic type equations
(2023)
-
ソボレフ流と二重非線形放物型方程式について
(RIMS共同研究(公開型)「関数空間論とその周辺」 2023)
more...
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
more...
Professional career (1):
- Doctor of Science (Keio University)
Association Membership(s) (2):
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