A Boundary Estimate for Singular Parabolic Diffusion Equations
Analysis of PDEs
2018-07-19 v1
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 p-laplacian type. The estimate is given in terms of a Wiener-type integral, defined by a proper elliptic p-capacity.
Cite
@article{arxiv.1703.04907,
title = {A Boundary Estimate for Singular Parabolic Diffusion Equations},
author = {Ugo Gianazza and Naian Liao and Teemu Lukkari},
journal= {arXiv preprint arXiv:1703.04907},
year = {2018}
}