A priori gradient bounds for fully nonlinear parabolic equations and applications to porous medium models

Autor:	Mustapha Jazar, Hana Hajj Chehade, Régis Monneau
Rok vydání:	2015
Předmět:	Nonlinear parabolic equations Nonlinear system Maximum principle Applied Mathematics General Mathematics Mathematical analysis A priori and a posteriori Porous medium Mathematics
Zdroj:	Journal de Mathématiques Pures et Appliquées. 103:1346-1357
ISSN:	0021-7824
DOI:	10.1016/j.matpur.2014.11.001
Popis:	We prove a priori gradient bounds for classical solutions of the fully nonlinear parabolic equation u t = F ( D 2 u , D u , u , x , t ) . Several applications are given, including the standard porous medium equation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::758fb5c53c0d903b08e875e7934ce143 https://doi.org/10.1016/j.matpur.2014.11.001 Zobrazit plný text záznamu Full Text from ScienceDirect