A sufficient condition for the continuity of solutions to a logarithmic diffusion equation
Analysis of PDEs
2017-03-21 v1
Abstract
This note gives a first sufficient condition that insures a non-negative, locally bounded, local solution to a logarithmically singular parabolic equation is continuous at a vanishing point and an estimate of the modulus of continuity is given. Moreover, an estimate of the Hausdorff measure of the set of discontinuity is established.
Cite
@article{arxiv.1703.06248,
title = {A sufficient condition for the continuity of solutions to a logarithmic diffusion equation},
author = {Naian Liao},
journal= {arXiv preprint arXiv:1703.06248},
year = {2017}
}