The smoothing property for a class of doubly nonlinear parabolic equations-Reference-Cited by-同舟云学术

The smoothing property for a class of doubly nonlinear parabolic equations

Published:2005-01-27 Issue:8 Volume:357 Page:3239-3253
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Ebmeyer Carsten,Urbano José

Abstract

We consider a class of doubly nonlinear parabolic equations used in modeling free boundaries with a finite speed of propagation. We prove that nonnegative weak solutions satisfy a smoothing property; this is a well-known feature in some particular cases such as the porous medium equation or the parabolic p p -Laplace equation. The result is obtained via regularization and a comparison theorem.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2005-357-08/S0002-9947-05-03790-6/S0002-9947-05-03790-6.pdf

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