Hölder regularity for degenerate parabolic obstacle problems

Verena Bögelein, Teemu Lukkari, Christoph Scheven

Research output: Contribution to journalArticleScientificpeer-review

11 Citations (Scopus)
172 Downloads (Pure)

Abstract

We prove that weak solutions to the obstacle problem for the porous medium equation are locally Hölder continuous, provided that the obstacle is Hölder continuous.

Original languageEnglish
Pages (from-to)1-39
Number of pages39
JournalArkiv för Matematik
Volume55
Issue number1
DOIs
Publication statusPublished - 2017
MoE publication typeA1 Journal article-refereed

Keywords

  • Obstacle problem
  • Porous medium equation
  • Regularity

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