Separation of a Lower Dimensional Free Boundary in a Two Phase Problem
Analysis of PDEs
2012-03-29 v1
Abstract
This paper studies local properties of a two phase free boundary problem for the fractional Laplacian. The main result states that the two free boundaries of the positive and negativity sets cannot touch.
Cite
@article{arxiv.1203.6311,
title = {Separation of a Lower Dimensional Free Boundary in a Two Phase Problem},
author = {Mark Allen},
journal= {arXiv preprint arXiv:1203.6311},
year = {2012}
}