Accepted Paper

Inserted: 12 may 2025
Last Updated: 26 apr 2026

Journal: Communications in Contemporary Mathematics
Year: 2025

Abstract:

In this paper, we prove that flat free boundaries of solutions to inhomogeneous one-phase Stefan problem are $C^{1,\alpha}$. 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 CVPDE, 2021.