A Boundary Estimate for Degenerate Parabolic Diffusion Equations
Analysis of PDEs
2019-08-21 v1
Abstract
We prove an estimate on the modulus of continuity at a boundary point of a cylindrical domain for local weak solutions to degenerate parabolic equations of -laplacian type. The estimate is given in terms of a Wiener-type integral, defined by a proper elliptic -capacity.
Cite
@article{arxiv.1807.06387,
title = {A Boundary Estimate for Degenerate Parabolic Diffusion Equations},
author = {Ugo Gianazza and Naian Liao},
journal= {arXiv preprint arXiv:1807.06387},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1703.04907