Sharp regularity for a singular fully nonlinear parabolic free boundary problem
Analysis of PDEs
2023-03-28 v1
Abstract
This paper establishes sharp local regularity estimates for viscosity solutions of fully nonlinear parabolic free boundary problems with singular absorption terms. The main difficulties are due to the blow-up of the source along the free boundary and the lack of a variational structure. The proof combines the power of the Ishii-Lions method with intrinsically parabolic oscillation estimates. The results are new, even for second-order linear operators in nondivergence form.
Keywords
Cite
@article{arxiv.2303.14520,
title = {Sharp regularity for a singular fully nonlinear parabolic free boundary problem},
author = {Damião J. Araújo and Ginaldo S. Sá and José Miguel Urbano},
journal= {arXiv preprint arXiv:2303.14520},
year = {2023}
}