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Hölder regularity for degenerate parabolic obstacle problems

Verena Bögelein Universität Salzburg Christoph Scheven Universität Duisburg-Essen Teemu Lukkari Aalto University

Analysis of PDEs mathscidoc:1803.43007

Arkiv for Matematik, 55, 2017
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.
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@inproceedings{verena2017hölder,
  title={Hölder regularity for degenerate parabolic obstacle problems},
  author={Verena Bögelein, Christoph Scheven, and Teemu Lukkari},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180301152435840810942},
  booktitle={Arkiv for Matematik},
  volume={55},
  year={2017},
}
Verena Bögelein, Christoph Scheven, and Teemu Lukkari. Hölder regularity for degenerate parabolic obstacle problems. 2017. Vol. 55. In Arkiv for Matematik. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180301152435840810942.
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