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arXiv · 2404.07535

Free boundary regularity for the inhomogeneous one-phase Stefan problem

Fausto Ferrari·Nicolò Forcillo·Davide Giovagnoli·David Jesus
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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 \cite{DFS23}.

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Fausto Ferrari, Nicolò Forcillo, Davide Giovagnoli, David Jesus. 2024-04-11. Free boundary regularity for the inhomogeneous one-phase Stefan problem. https://arxiv.org/abs/2404.07535

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