Global existence of classical solutions for a nonlocal one dimensional parabolic free boundary problem
Analysis of PDEs
2012-11-06 v1
Abstract
In this paper we study one dimensional parabolic free boundary value problem with a nonlocal (integro-differential) condition on the free boundary. We establish global existence-uniqueness of classical solutions assuming that the initial-boundary data are sufficiently smooth and satisfy some compatibility conditions. Our approach is based on analysis of an equivalent system of nonlinear integral equations.
Keywords
Cite
@article{arxiv.1211.0894,
title = {Global existence of classical solutions for a nonlocal one dimensional parabolic free boundary problem},
author = {Rossitza Semerdjieva},
journal= {arXiv preprint arXiv:1211.0894},
year = {2012}
}
Comments
23 pages