Free boundary regularity for the inhomogeneous one-phase Stefan problem
Analysis of PDEs
2026-04-28 v4
Abstract
In this paper, we prove that flat free boundaries of solutions to inhomogeneous one-phase Stefan problem are . The method consists of employing a hodograph transform and deriving the regularity via a linearization technique, following the approach introduced by De Silva, Forcillo, and Savin in \cite{DFS23}.
Keywords
Cite
@article{arxiv.2404.07535,
title = {Free boundary regularity for the inhomogeneous one-phase Stefan problem},
author = {Fausto Ferrari and Nicolò Forcillo and Davide Giovagnoli and David Jesus},
journal= {arXiv preprint arXiv:2404.07535},
year = {2026}
}