Existence and boundary regularity for degenerate phase transitions
Analysis of PDEs
2017-02-24 v1
Abstract
We study the Cauchy-Dirichlet problem associated to a phase transition modeled upon the degenerate two-phase Stefan problem. We prove that weak solutions are continuous up to the parabolic boundary and quantify the continuity by deriving a modulus. As a byproduct, these a priori regularity results are used to prove the existence of a so-called physical solution.
Cite
@article{arxiv.1702.07159,
title = {Existence and boundary regularity for degenerate phase transitions},
author = {Paolo Baroni and Tuomo Kuusi and Casimir Lindfors and José Miguel Urbano},
journal= {arXiv preprint arXiv:1702.07159},
year = {2017}
}
Comments
34 pages