Regularity of Solutions to a Parabolic Free Boundary Problem with Variable Coefficients
Analysis of PDEs
2015-12-04 v1
Abstract
The main result of this paper is to prove that viscosity solutions to a parabolic free boundary problem with variable coefficients are Lipschitz continuous under the assumptions that the solution has a Lipschitz free boundary and satisfies a non-degeneracy condition. This is the optimal regularity for this problem.
Keywords
Cite
@article{arxiv.1512.00915,
title = {Regularity of Solutions to a Parabolic Free Boundary Problem with Variable Coefficients},
author = {Thomas Backing},
journal= {arXiv preprint arXiv:1512.00915},
year = {2015}
}