The higher integrability of weak solutions of porous medium systems

Advances in Nonlinear Analysis

Duzaar Frank¹  Korte Riikka²  Bögelein Verena³  Scheven Christoph⁴ 

[1] Department Mathematik, Universität Erlangen–Nürnberg, Cauerstr. 11, 91058Erlangen, Germany;Department of Mathematics and Systems Analysis, Aalto University, P.O. Box 11100, FI-00076Aalto, Finland;Fachbereich Mathematik, Universität Salzburg, Hellbrunner Str. 34, 5020Salzburg, Austria;Fakultät für Mathematik, Universität Duisburg–Essen, 45117Essen, Germany;

关键词: porous medium-type systems;    higher integrability;    gradient estimates;    35b65;    35k65;    35k40;    35k55;   

DOI  :  10.1515/anona-2017-0270

来源: DOAJ

【 摘 要 】

In this paper we establish that the gradient of weak solutions to porous medium-type systems admits the self-improving property of higher integrability.

【 授权许可】

Unknown