On the Hölder regularity for obstacle problems to porous medium type equations

On the Hölder regularity for obstacle problems to porous medium type equations

We show that signed weak solutions to parabolic obstacle problems with porous medium type structure are locally H\"older continuous, provided that the obstacle is H\"older continuous.

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Veröffentlicht in:arXiv.org 2022-06
Hauptverfasser: Moring, Kristian, Schätzler, Leah
Format: Artikel
Sprache:eng
Schlagworte:
Barriers
Porous media
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Zusammenfassung:We show that signed weak solutions to parabolic obstacle problems with porous medium type structure are locally H\"older continuous, provided that the obstacle is H\"older continuous.
ISSN:2331-8422