The higher integrability of weak solutions of porous medium systems-Reference-Cited by-同舟云学术

The higher integrability of weak solutions of porous medium systems

Published:2018-06-06 Issue:1 Volume:8 Page:1004-1034
ISSN:2191-9496
Container-title:Advances in Nonlinear Analysis
language:
Short-container-title:

Author:

Bögelein Verena¹,Duzaar Frank²,Korte Riikka³,Scheven Christoph⁴

Affiliation:

1. Fachbereich Mathematik, Universität Salzburg, Hellbrunner Str. 34, 5020 Salzburg, Austria

2. Department Mathematik, Universität Erlangen–Nürnberg, Cauerstr. 11, 91058 Erlangen, Germany

3. Department of Mathematics and Systems Analysis, Aalto University, P.O. Box 11100, FI-00076 Aalto, Finland

4. Fakultät für Mathematik, Universität Duisburg–Essen, 45117 Essen, Germany

Abstract

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

Funder

Suomen Akatemia

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/downloadpdf/journals/anona/8/1/article-p1004.xml

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