Regularity of Supersolutions
Analysis of PDEs
2025-02-21 v1
Abstract
The regularity for the supersolutions of the Evolutionary p-Laplace Equation is considered. In particular,the equivalence of viscosity supersolutions and p-supercaloric functions (lower semicontinuous supersolutions defined via a comparison principle) is considered. Bounded viscosity supersolutions are, in fact, weak supersolutions belonging to a natural Sobolev Space.
Keywords
Cite
@article{arxiv.2502.14577,
title = {Regularity of Supersolutions},
author = {Peter Lindqvist},
journal= {arXiv preprint arXiv:2502.14577},
year = {2025}
}