Almost minimizers of the one-phase free boundary problem
Analysis of PDEs
2019-01-09 v1
Abstract
We consider almost minimizers to the one-phase energy functional and we prove their optimal Lipschitz regularity and partial regularity of their free boundary. These results were recently obtained by David and Toro, and David, Engelstein, and Toro. Our proofs provide a different method based on a non-infinitesimal notion of viscosity solutions.
Cite
@article{arxiv.1901.02007,
title = {Almost minimizers of the one-phase free boundary problem},
author = {Daniela De Silva and Ovidiu Savin},
journal= {arXiv preprint arXiv:1901.02007},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1812.03094