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Dive into the research topics where Masashi Misawa is active.

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Featured researches published by Masashi Misawa.


Rendiconti Del Circolo Matematico Di Palermo | 1990

Campanato type estimates for solutions of difference-elliptic partial differential equations with constant coefficients

Norio Kikuchi; Masashi Misawa

Difference-elliptic partial differential equations are discussed and Campanato type estimates are obtained for solutions of the equations.


Advances in Calculus of Variations | 2018

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

Masashi Misawa

Abstract We study a geometric analysis and local regularity for the evolution of p {{p}} -harmonic maps, called p {{p}} -harmonic map heat flows. Our main result is to establish a criterion for a uniform local regularity estimate for regular p {{p}} -harmonic map heat flows, devising some new monotonicity-type formulas of a local scaled energy. The regularity criterion obtained is almost optimal, comparing with that of the corresponding stationary case. As application we show a compactness of regular p {{p}} -harmonic map heat flows with energy bound.


Annali di Matematica Pura ed Applicata | 2002

Local Hölder regularity of gradients for evolutional p-Laplacian systems

Masashi Misawa


Nonlinear Analysis-theory Methods & Applications | 2002

On the p-harmonic flow into spheres in the singular case ☆

Masashi Misawa


Manuscripta Mathematica | 2002

Partial regularity results for evolutional p-Laplacian systems with natural growth

Masashi Misawa


Electronic Journal of Differential Equations | 1998

Existenceand regularityresultsfor the gradient flow for p-harmonicmaps

Masashi Misawa


Journal of Differential Equations | 2013

A Hölder estimate for nonlinear parabolic systems of p-Laplacian type

Masashi Misawa


Journal of Differential Equations | 2014

The regularity for nonlinear parabolic systems of p-Laplacian type with critical growth

Chiara Leone; Masashi Misawa; Anna Verde


Nonlinear Analysis-theory Methods & Applications | 2001

Approximation of p-harmonic maps by the penalized equation☆

Masashi Misawa


Journal de Mathématiques Pures et Appliquées | 2012

A global existence result for the heat flow of higher dimensional H-systems

Chiara Leone; Masashi Misawa; Anna Verde

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Anna Verde

University of Naples Federico II

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Chiara Leone

University of Naples Federico II

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