MISAWA Masashi

J-GLOBAL         Last updated: Jul 11, 2018 at 16:13
MISAWA Masashi
Kumamoto University
Graduate School of Science and Technology,  ,Graduate School of Science and Technology(Science group),Kumamoto University
Job title
Doctor of Science(Keio University)

Research Areas



Kenta Nakamura, Masashi Misawa
Nonlinear Analysis, Theory, Methods and Applications   175 157-172   Oct 2018
© 2018 Elsevier Ltd In this paper, we study a doubly nonlinear parabolic equation, called the p-Sobolev flow here, which is the classical Yamabe flow on a bounded domain in Euclidean space in the case p=2. We show the existence of a weak solution ...
Masashi Misawa, Nobumitsu Nakauchi
Advances in Differential Equations   23 693-724   Sep 2018
© 2018 Khayyam Publishing. In our previous papers, we introduce symphonic maps ([9]) and show a Hölder continuity of symphonic maps from domains of R4into the spheres ([6], [7]). In this paper, we consider the heat ow of symphonic maps with values...
Masashi Misawa
Journal of Differential Equations   264 1716-1749   Feb 2018
© 2017 Elsevier Inc. This paper presents our study of regularity for p-harmonic map heat flows. We devise a monotonicity-type formula of scaled energy and establish a criterion for a uniform regularity estimate for regular p-harmonic map heat flow...
Corina Karim, Masashi Misawa
AIP Conference Proceedings   1913    Dec 2017
© 2017 Author(s). We study the existence of global weak solutions for Cauchy-Dirichlet problem for evolutional p-Laplacian systems. The initial data is belonging to the Sobolev space W1,p(Ω,n). We use a varitional (like) method to treat the existe...
Masashi Misawa, Nobumitsu Nakauchi
Calculus of Variations and Partial Differential Equations   55 1-20   Feb 2016
© 2016, Springer-Verlag Berlin Heidelberg. In the paper Nakauchi and Takenaka (Ric Mat 60:219–235, 2011) the second author introduced a stationary map for the functional of the L2-norm of the pullbacks of metrics. We call it a symphonic map. In ou...

Conference Activities & Talks

A doubly nonlinear parabolic type equation and the p-Sobolev flow [Invited]
MISAWA Masashi
2018 PDEs workshop in Hangzhou   7 Apr 2018   
A doubly nonlinear degenerate and singular parabolic equation and a geometric flow [Invited]
MISAWA Masashi
Workshop, Critical exponent and nonlinear evolution equation 2018   16 Feb 2018   
Monotonicity estimate and global existence for the p-harmonic flow
MISAWA Masashi
7 Feb 2018   
Regularity for a doubly nonlinear parabolic equation and its application [Invited]
MISAWA Masashi
2 Feb 2018   
Global existence and regularity for the p-harmonic flow
MISAWA Masashi
Coference on 'Metrics and Measures'nference   11 Jan 2018   

Research Grants & Projects

Nonlinear partial differential equations in the calculus of variations
Grants and Funding
Project Year: 1990   
Regularity and singularity for harmonic map flows
The Other Research Programs
Project Year: 2007