Perron's solutions for two-phase free boundary problems with distributed sources
Analysis of PDEs
2014-11-18 v1
Abstract
We use Perron method to construct a weak solution to a two-phase free boundary problem with right-hand-side. We thus extend the results of the pioneer work of Caffarelli for the homogeneous case.
Cite
@article{arxiv.1411.4637,
title = {Perron's solutions for two-phase free boundary problems with distributed sources},
author = {Daniela De Silva and Fausto Ferrari and Sandro Salsa},
journal= {arXiv preprint arXiv:1411.4637},
year = {2014}
}