The higher integrability of weak solutions of porous medium systems

Verena Bögelein, Frank Duzaar*, Riikka Korte, Christoph Scheven

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

20 Citations (Scopus)
143 Downloads (Pure)

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.

Original languageEnglish
Pages (from-to)1004–1034
Number of pages31
JournalAdvances in Nonlinear Analysis
Volume8
Issue number1
Early online date6 Jun 2018
DOIs
Publication statusPublished - Jan 2019
MoE publication typeA1 Journal article-refereed

Keywords

  • gradient estimates
  • higher integrability
  • Porous medium-type systems

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