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September 2017 Hölder regularity for degenerate parabolic obstacle problems
Verena Bögelein, Teemu Lukkari, Christoph Scheven
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Ark. Mat. 55(1): 1-39 (September 2017). DOI: 10.4310/ARKIV.2017.v55.n1.a1

Abstract

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

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Verena Bögelein. Teemu Lukkari. Christoph Scheven. "Hölder regularity for degenerate parabolic obstacle problems." Ark. Mat. 55 (1) 1 - 39, September 2017. https://doi.org/10.4310/ARKIV.2017.v55.n1.a1

Information

Received: 1 September 2015; Revised: 11 January 2017; Published: September 2017
First available in Project Euclid: 2 February 2018

zbMATH: 06823271
MathSciNet: MR3711140
Digital Object Identifier: 10.4310/ARKIV.2017.v55.n1.a1

Subjects:
Primary: 35B65 , 35K65 , 35K86 , 47J20

Keywords: obstacle problem , porous medium equation , regularity

Rights: Copyright © 2017 Institut Mittag-Leffler

Vol.55 • No. 1 • September 2017
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