C^{2,\alpha}$ regularity of flat free boundaries for the thin one-phase problem
Analysis of PDEs
2011-11-11 v1
Abstract
We prove regularity of sufficiently flat free boundaries, for the thin one-phase problem in which the free boundary occurs on a lower dimensional subspace. This problem appears also as a model of a one-phase free boundary problem in the context of the fractional Laplacian .
Cite
@article{arxiv.1111.2513,
title = {C^{2,\alpha}$ regularity of flat free boundaries for the thin one-phase problem},
author = {Daniela De Silva and Ovidiu Savin},
journal= {arXiv preprint arXiv:1111.2513},
year = {2011}
}