Boundary pointwise regularity for fully nonlinear parabolic equations and an application to regularity of free boundaries
Analysis of PDEs
2022-08-03 v1
Abstract
In this paper, we prove boundary pointwise regularity for any for fully nonlinear parabolic equations. As an application, we give a direct and short proof of the higher regularity of the free boundaries in obstacle-type problems.
Keywords
Cite
@article{arxiv.2208.01194,
title = {Boundary pointwise regularity for fully nonlinear parabolic equations and an application to regularity of free boundaries},
author = {Yuanyuan Lian and Kai Zhang},
journal= {arXiv preprint arXiv:2208.01194},
year = {2022}
}