On two notions of solutions to the obstacle problem for the singular porous medium equation

We show that two different notions of solutions to the obstacle problem for the porous medium equation, a potential theoretic notion and a notion based on a variational inequality, coincide for regular enough compactly supported obstacles.

Bibliographische Detailangaben

Veröffentlicht in:	arXiv.org 2024-04
Hauptverfasser:	Moring, Kristian, Scheven, Christoph
Format:	Artikel
Sprache:	eng
Schlagworte:	Barriers Porous media
Online-Zugang:	Volltext
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