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Bibliographic Details
Main Author: Lindqvist, Peter
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2502.14577
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author Lindqvist, Peter
author_facet Lindqvist, Peter
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_14577
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Regularity of Supersolutions
Lindqvist, Peter
Analysis of PDEs
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.
title Regularity of Supersolutions
topic Analysis of PDEs
url https://arxiv.org/abs/2502.14577