On two notions of solutions to the obstacle problem for the singular porous medium equation
Analysis of PDEs
2024-04-30 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2306.07166,
title = {On two notions of solutions to the obstacle problem for the singular porous medium equation},
author = {Kristian Moring and Christoph Scheven},
journal= {arXiv preprint arXiv:2306.07166},
year = {2024}
}