On a gradient maximum principle for some quasilinear parabolic equations on convex domains-Reference-Cited by-同舟云学术

On a gradient maximum principle for some quasilinear parabolic equations on convex domains

Published:2016-09-15 Issue:3 Volume:145 Page:1203-1208
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Kim Seonghak

Abstract

We establish a spatial gradient maximum principle for classical solutions to the initial and Neumann boundary value problem of some quasilinear parabolic equations on smooth convex domains.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2017-145-03/S0002-9939-2016-13291-7/S0002-9939-2016-13291-7.pdf

Reference11 articles.

1. Gradient estimates for degenerate diffusion equations. I;Alikakos, Nicholas D.;Math. Ann.,1982

2. Graduate Studies in Mathematics;Evans, Lawrence C.,2010

3. A gradient estimate for solutions of the heat equation. II;Kahane, Charles S.;Czechoslovak Math. J.,2001

4. Maximum and comparison principle for one-dimensional anisotropic diffusion;Kawohl, Bernd;Math. Ann.,1998

5. Radial weak solutions for the Perona-Malik equation as a differential inclusion;Kim, Seonghak;J. Differential Equations,2015

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