Masashi Misawa

Profile Information

Affiliation: Professor, Graduate School of Science and Technology, ,Graduate School of Science and Technology(Science group),Kumamoto University, Kumamoto University

Degree: Doctor of Science(Keio University)

J-GLOBAL ID: 200901077256357209
researchmap Member ID: 1000231126

Research Interests

Research Areas

Natural sciences / Mathematical analysis /

Papers

Expansion of positivity for doubly nonlinear parabolic equations and its application

Masashi Misawa

Calculus of Variations and Partial Differential Equations, 62(9), Nov 2, 2023 Peer-reviewedLead authorLast authorCorresponding author
A finite time extinction profile and optimal decay for a fast diffusive doubly nonlinear equation

Masashi Misawa, Kenta Nakamura, Md Abu Hanif Sarkar

Nonlinear Differential Equations and Applications NoDEA, 30(3), Apr 11, 2023 Peer-reviewedCorresponding author
A volume constraint problem for the nonlocal doubly nonlinear parabolic equation

Masashi Misawa, Kenta Nakamura, Yoshihiko Yamaura

Mathematics in Engineering, 5(6) 1-26, 2023 Peer-reviewedInvitedCorresponding author
On the finite-time blow-up of symphonic map flows

Masashi Misawa, Nobumitsu Nakauchi

I, 36(1-2) 93-132, Jan, 2023 Peer-reviewedCorresponding author
Existence of a Sign-Changing Weak Solution to Doubly Nonlinear Parabolic Equations

Masashi Misawa, Kenta Nakamura

The Journal of Geometric Analysis, 33(1), Jan, 2023 Peer-reviewedCorresponding author
Two examples of harmonic maps into spheres

Masashi Misawa, Nobumitsu Nakauchi

Advances in Geometry, 22(1) 23-31, Jan 27, 2022 Peer-reviewedCorresponding author
Intrinsic scaling method for doubly nonlinear parabolic equations and its application

Masashi Misawa, Kenta Nakamura

Advances in Calculus of Variations, Jun 10, 2021 Peer-reviewedCorresponding author
The discrete Morse flow method for parabolic p-Laplacian systems

Nobuyuki Kato, Masashi Misawa, Yoshihiko Yamaura

Annali di Matematica Pura ed Applicata (1923 -), 200(3) 1245-1275, Jun, 2021 Peer-reviewedCorresponding author
Global existence for the p-Sobolev flow

Tuomo Kuusi, Masashi Misawa, Kenta Nakamura

Journal of Differential Equations, 279 245-281, Apr, 2021 Peer-reviewedCorresponding author
Regularity of the m-symphonic map

Masashi Misawa, Nobumitsu Nakauchi

Partial Differential Equations and Applications, 2(2), Apr, 2021 Peer-reviewedCorresponding author
Asymptotic Profile for Diffusion Wave Terms of the Compressible Navier–Stokes–Korteweg System

Takayuki Kobayashi, Masashi Misawa, Kazuyuki Tsuda

Mathematics, 9(6) 683-683, Mar 22, 2021 Peer-reviewedCorresponding author
Regularity Estimates for the p-Sobolev Flow

Tuomo Kuusi, Masashi Misawa, Kenta Nakamura

The Journal of Geometric Analysis, 30(2) 1918-1964, Nov 25, 2019 Peer-reviewedLead author
Remarks on weakly stationary maps into spheres characterized by wedge product

Masashi Misawa, Nobumitsu Nakauchi

Rendiconti del Circolo Matematico di Palermo Series 2, 68(1) 227-236, Apr 5, 2019 Peer-reviewedCorresponding author
Global existence and partial regularity for the p-harmonic flow

Masashi Misawa

Calculus of Variations and Partial Differential Equations, 58, no. 54(2), Apr, 2019 Peer-reviewedLead author
Time-space L2-boundedness for the 2D Navier-Stokes equations and hyperbolic Navier-Stokes equations

Kobayashi, Takayuki, Misawa, Masashi, Nakamura, Kenji

Tsukuba J. Math., 43(no. 2) 223-239, 2019 Peer-reviewedCorresponding author
0

Local regularity and compactness for the p-harmonic map heat flows

MISAWA Masashi

Adv. Calc. Var., 11(no. 3) 223-255, 2017 Peer-reviewedLead author
A Holder continuity of minimizing symphonic maps

Masashi Misawa, Nobumitsu Nakauchi

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 75(15) 5971-5974, Oct, 2012 Peer-reviewed

Misc.

Existence of a weak solution to the p-Sobolev flow

Kenta Nakamura, Masashi Misawa

Nonlinear Analysis, Theory, Methods and Applications, 175 157-172, Oct 1, 2018
Global existence for the heat flow of symphonic maps into spheres

Masashi Misawa, Nobumitsu Nakauchi

Advances in Differential Equations, 23 693-724, Sep 1, 2018
Regularity for the evolution of p-harmonic maps

Masashi Misawa

JOURNAL OF DIFFERENTIAL EQUATIONS, 264(3) 1716-1749, Feb, 2018
Existence of global weak solutions for Cauchy-Dirichlet problem for evolutional p-Laplacian systems

Corina Karim, Masashi Misawa

AIP Conference Proceedings, 1913, Dec 5, 2017
A Holder continuity of symphonic maps into the spheres

Masashi Misawa, Nobumitsu Nakauchi

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 55(1) 1-20, Feb, 2016
Gradient Hölder regularity for nonlinear parabolic systems of p-laplacian type

Corina Karim, Corina Karim, Masashi Misawa

Differential and Integral Equations, 29 201-228, Jan 1, 2016
HOLDER REGULARITY FOR SINGULAR PARABOLIC SYSTEMS OF p-LAPLACIAN TYPE

Corina Karim, Masashi Misawa

ADVANCES IN DIFFERENTIAL EQUATIONS, 20(7-8) 741-772, Jul, 2015
The regularity for nonlinear parabolic systems of p-Laplacian type with critical growth

Chiara Leone, Masashi Misawa, Anna Verde

JOURNAL OF DIFFERENTIAL EQUATIONS, 256(8) 2807-2845, Apr, 2014
$L^2$ boundedness for the 2D exterior problems for the semilinear heat and dissipative wave equations (Harmonic Analysis and Nonlinear Partial Differential Equations)

Kobayashi Takayuki, Misawa Masashi

RIMS Kokyuroku Bessatsu, 42 1-11, Aug, 2013
A Holder estimate for nonlinear parabolic systems of p-Laplacian type

Masashi Misawa

JOURNAL OF DIFFERENTIAL EQUATIONS, 254(2) 847-878, Jan, 2013
A global existence result for the heat flow of higher dimensional H-systems

C. Leone, M. Misawa, A. Verde

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 97(3) 282-294, Mar, 2012
DECAY PROPERTY FOR THE LINEAR WAVE EQUATIONS IN TWO-DIMENSIONAL EXTERIOR DOMAINS

Masashi Misawa, Shoko Okamura, Takayuki Kobayashi

DIFFERENTIAL AND INTEGRAL EQUATIONS, 24(9-10) 941-964, Sep, 2011
Regularity condition by mean oscillation to a weak solution of the 2-dimensional Harmonic heat flow into sphere

Masashi Misawa, Takayoshi Ogawa

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 33(4) 391-415, Dec, 2008
Regularity condition by mean oscillation of a weak solution to the 2-dimensional harmonic heat flow into sphere

Masashi Misawa, Takayoshi Ogawa

Calculus of Variations and Partial Differential Equations, Springer, Online Published, 2008
Existence of a strong solution and L^q-estimate for linear parabolic systems of nondivergence form

三沢正史

Electronic Journal of Differential Equations, 2006
Lq estimates of gradients for evolutional p-Laplacian systems

Masashi Misawa

Journal of Differential Equations, 219(2) 390-420, Dec 15, 2005
L-q estimates of gradients for evolutional p-Laplacian systems

M Misawa

JOURNAL OF DIFFERENTIAL EQUATIONS, 219(2) 390-420, Dec, 2005
The evolution of minimal surfaces with free boundaries in higher dimensions

三沢正史

GAKUTO International Series Mathematical Sciences and Applications, 22 155-171, 2005
The evolution of minimal surfaces with free boundaries in higher dimensions

MISAWA Masashi

GAKUTO International Series Mathematical Sciences and Applications, 22 155-171, 2005
Existence for a Cauchy-Dirichlet problem for volutional $p-$Laplacian systems

三沢正史

Applicationes Math., 31 287-302, 2004

Books and Other Publications

これからの非線形偏微分方程式

(Role: Joint author)

日本評論社, May, 2007

Presentations

3

Concentration phenomenon for the Sobolev flow

Masashi Misawa

Asia-Pacific Analyis and PDE Seminar, Nov 27, 2023 Invited
7

ソボレフ流の体積エネルギー集中現象について

三沢正史

大阪大学微分方程式セミナー, Nov 17, 2023 Invited
5

Global existence for the p-Sobolev flow

Masashi Misawa

Frontiers of gradient flows: well-posedness, asymptotics, singular limits" at the ICIAM 2023 Tokyo, Aug 21, 2023 Invited
Expansion of positivity and Hölder regularity for doubly nonlinear parabolic type equations

Masashi Misawa

Mar 22, 2023 Invited
ソボレフ流と二重非線形放物型方程式について

三沢正史

RIMS共同研究（公開型）「関数空間論とその周辺」, Feb 14, 2023 Invited
非線形固有値問題に対する熱流の大域存在について

三沢正史

HMAセミナー・冬の研究会 2023, Jan 20, 2023 Invited
8

ｐソボレフ流の大域存在と漸近挙動について

三沢正史

偏微分方程式の解の特異線とその周辺, Jan 11, 2023 Invited
ソボレフ流の大域存在と退化特異放物型方程式の正則性

三沢正史

非線形偏微分方程式と走化性, Nov 30, 2022 Invited
ソボレフ不等式に関わる二重非線形放物型方程式の大域存在

三沢正史

早稲田大学「応用解析セミナー」, Nov 19, 2022 Invited
Global existence for the p-Sobolev flow

Masashi Misawa

Sep 9, 2022 Invited
p-ソボレフ流の大域存在について

三沢正史

茨城大学解析セミナー, Mar 9, 2021 Invited
m調和流の正則性特異性について

三沢正史

北九州地区における偏微分方程式研究集会, Feb 8, 2020 Invited
m 調和写像熱流の特異性について

三沢正史

RIMS 共同研究(公開型) 関数空間論とその周辺, Dec 9, 2019 Invited
m調和写像流の有限特異性

三沢正史

大阪大学微分方程式セミナー, Jul 12, 2019 Invited
A doubly nonlinear parabolic type equation and the p-Sobolev flow

MISAWA Masashi

2018 PDEs workshop in Hangzhou, Apr 7, 2018 Invited
A doubly nonlinear degenerate and singular parabolic equation and a geometric flow

MISAWA Masashi

Workshop, Critical exponent and nonlinear evolution equation 2018, Feb 16, 2018 Invited
Monotonicity estimate and global existence for the p-harmonic flow

MISAWA Masashi

Feb 7, 2018
Regularity for a doubly nonlinear parabolic equation and its application

MISAWA Masashi

Feb 2, 2018 Invited
Global existence and regularity for the p-harmonic flow

MISAWA Masashi

Coference on 'Metrics and Measures'nference, Jan 11, 2018
Global existence and partial regularity for the p-harmonic flow

MISAWA Masashi

Free Boundary problem and Nonlinear PDEs, Sep 26, 2017

Professional Memberships

Works

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
ある差分方程式の解の系列に関する研究

2002 - 2004
非線形偏微分方程式系における準周期的アトラクターの構造解析

2002 - 2004
多変数変分問題の臨界点解析・非線形最適化の数理解析

2002 - 2003
変分問題・物質科学の一般臨界点への道を求めて:数理解析及び数値解析プログラム作成

2001 - 2003
第2ベッチ数1をもつC^nの複素解析的コンパクト化の構造と分類

2001 - 2003
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

2001 - 2002
P-調和写像の正則性とエネルギー集中現象の解析

2000 - 2002

Research Projects

Nonlocal regularity for a geometric heat flow with fractional integral operator

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2021 - Mar, 2024
「多成分偏微分方程式系の解析的研究」

科学研究費助成事業, 基盤研究(B), 日本学術振興会, Apr, 2019 - Mar, 2022

鈴木貴, 高橋亮, 三沢正史, 佐藤友彦, 宮西吉久, 太田家健佑
Regularity for doubly nonlinear degenerate and singular parabolic equations and a geometric flow

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2018 - Mar, 2022

Misawa Masashi
Monotonicity estimates and local regularity and singularity for the p-harmonic flows

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2015 - Mar, 2018

Masashi Misawa, YAMAURA Yoshihiko
Geometry of solutions of partial differential equations and the inverse problems accompanied by it

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2014 - Mar, 2018

SAKAGUCHI SHIGERU, ISHIGE Kazuhiro, MIKAMI Toshio, MISAWA Masashi, CAVALLINA Lorenzo
Diffusion wave property of the solutions to the system of the viscous fluid flow

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2013 - Mar, 2016

Takayuki Kobayashi, KAJIKIYA RYUJI, KAGEI YOSHIYUKI, MISAWA MASASHI, KUBO TAKAYUKI
Regularity for the evolutionary p-Laplace operator and global existence of the p-harmonic map flows

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2012 - Mar, 2015

MISAWA MASASHI, YAMAURA Yoshihiko
Complexity structure analysis on the orbits of solutions of nonlinear partial differential equations by p-adic analysis

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2012 - Mar, 2015

NAITO Koichiro, SHIROMOTO Keisuke, MISAWA Masashi, WADA Takeshi, OGAWA Takayoshi
Research for Critical Asymptotic Structure of Nonlinear Evolution Equations

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, Apr, 2008 - Mar, 2013

OGAWA Takayoshi, KAWASHIMA Shuichi, MISAWA Masashi, TAKAGI Izumi, ISHIGE Kazuhiro
Structure of the solutions to the system ofcompressible fluid

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2010 - 2012

KOBAYASHI Takayuki, KAJIKIYA Ryuji, KAGEI Yoshiyuki, MISAWA Masashi, IKEHATA Ryo
Analysis for nonlinear critical phenomena described by mean field equations

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2008 - 2012

SUZUKI Takashi, MISAWA Masashi, TAKAHASHI Futoshi, NAITO Yuki, OHTSUKA Hiroshi, SUGIYAMA Yoshie, ISHIWATA Michinori, KOBAYASHI Takayuki, NAWA Hayato, WATANABE Kazuo, SATO Tomohiko, MATSUMURA Akitaka, YAGI Atsushi, MISAWA Masashi, TAKAHASHI Futoshi, NAITO Yuki, OHTSUKA Hiroshi, SUGIYAMA Yoshie, KOBAYASHI Takayuki, NAWA Hayato, WATANABE Kazuo, SATO Tomohiko, MATSUMURA Akitaka, YAGI Atsushi, YOSHIKAWA Shuji, KUROKIBA Masaki, FURIHATA Daisuke, KUWATA Kazuhiro, TANAKA Mieko, YAMADA Yoshio, SAITO Norikazu, TAKAHASHI Ryo, TASAKI Sohei, RICCIARDI Tonia, STEVENS Angela, KAVALLARIS Nikos, PAWLOW Irena, CHAPLAIN Mark, QUARANTA Vito, CHAVANIS Pierre-henri
Diffusion and Geometry of Domain

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2008 - 2012

SAKAGUCHI Shigeru, MISAWA Masashi, MIKAMI Toshio, SHIBATA Tetsutaro, KANON Yukio, KAWAKAMI Tatsuki, ISHIGE Kazuhiro, OGAWA Takayoshi
A regularity criterion for the harmonic map flows and asymptotic analysis for singularity

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2009 - 2011

MISAWA Masashi, TONEGAWA Yoshihiro, YAMAURA Yoshihiko
Complexity analysis on orbits of solutions of nonlinear partial differential equations

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2009 - 2011

NAITO Koichiro, MISAWA Masashi, KADOTA Noriya, SHIROMOTO Keisuke
Toward a unified understanding of general hypergeometric functions and general Schlesinger system by twistor theory

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2007 - 2010

KIMURA Hironobu, HARAOKA Yoshishige, TANABE Susumu, MISAWA Masashi, FURUSHIMA Mikio, OKAMOTO Kazuo, IWASAKI Katsunori, SHIMOMURA Shun, KAWAMUKO Hiroyuki
Mathematical research on regularity and singularity for the m-harmonic map flows and energy quantization phenomenon

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2007 - 2008

MISAWA Masashi, TONEGAWA Yoshihiro, NAKAJIMA Tohru
REGULARITY ANALYSIS OF DISCRETE MORSE FLOWS FOR ANARISYS OF GENERAL CRITICAL POINTS

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2006 - 2007

HOSHINO Keisuke, MISAWA Masashi
Analysis on the fractal structure of complexity solutions for nonlinear differential equations

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2006 - 2007

NAITO Koichiro, OSHIMA Yoichi, MISAWA Masashi, KADOTA Noriya
調和写像流の正則性特異性の漸近解析

その他の研究制度, 2007
Regularity and singularity for harmonic map flows

The Other Research Programs, 2007

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