Regularity of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem
Analysis of PDEs
2013-08-21 v3
Abstract
We consider one-dimensional parabolic free boundary value problem with a nonlocal (integro-differential) condition on the free boundary. Results on -regularity of the free boundary are obtained. In particular, a necessary and sufficient condition for infinite differentiability of the free boundary is given.
Keywords
Cite
@article{arxiv.1211.2219,
title = {Regularity of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem},
author = {Rossitza Semerdjieva},
journal= {arXiv preprint arXiv:1211.2219},
year = {2013}
}