A Boundary Estimate for Singular Sub-Critical Parabolic Equations
Analysis of PDEs
2020-11-24 v2
Abstract
We prove an estimate on the modulus of continuity at a boundary point of a cylindrical domain for local weak solutions to singular parabolic equations of -laplacian type, with in the sub-critical range . The estimate is given in terms of a Wiener-type integral, defined by a proper elliptic -capacity.
Cite
@article{arxiv.2003.05066,
title = {A Boundary Estimate for Singular Sub-Critical Parabolic Equations},
author = {Ugo Gianazza and Naian Liao},
journal= {arXiv preprint arXiv:2003.05066},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1703.04907