Arkiv för Matematik

Volume 55 (2017)

Number 1

Hölder regularity for degenerate parabolic obstacle problems

Pages: 1 – 39

DOI: https://dx.doi.org/10.4310/ARKIV.2017.v55.n1.a1

Authors

Verena Bögelein (Fachbereich Mathematik, Universität Salzburg, Austria)

Teemu Lukkari (Department of Mathematics and System Analysis, Aalto University, Espoo, Finland)

Christoph Scheven (Fakultät für Mathematik, Universität Duisburg-Essen, Essen, Germany)

Abstract

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

Keywords

obstacle problem, porous medium equation, regularity

2010 Mathematics Subject Classification

35B65, 35K65, 35K86, 47J20

Full Text (PDF format)

Received 1 September 2015

Received revised 11 January 2017

Accepted 31 October 2016

Published 26 September 2017