Boundary Regularity for the Free Boundary in the One-phase Problem
Analysis of PDEs
2017-09-12 v1
Abstract
We consider the Bernoulli one-phase free boundary problem in a domain and show that the free boundary is regular in a neighborhood of the fixed boundary . We achieve this by relating the behavior of near to a Signorini-type obstacle problem.
Cite
@article{arxiv.1709.03371,
title = {Boundary Regularity for the Free Boundary in the One-phase Problem},
author = {Hector Chang-Lara and Ovidiu Savin},
journal= {arXiv preprint arXiv:1709.03371},
year = {2017}
}