Free boundary regularity for the inhomogeneous one-phase Stefan problem

Communications in Contemporary Mathematics 2026 Open access

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Authors: Fausto Ferrari, Nicolò Forcillo, Davide Giovagnoli, Jesús David
DOI: 10.1142/s0219199726500483
Cited by: 0

Abstract

In this paper, we prove that flat free boundaries of solutions of the inhomogeneous one-phase Stefan problem are [Formula: see text]. 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 [D. De Silva, N. Forcillo and O. Savin, Perturbative estimates for the one-phase Stefan problem, Calc. Var. Partial Differential Equations 60(6) (2021) 219].

Fields of Study & Subjects

Advanced Mathematical Modeling in Engineering Numerical methods in engineering Composite Material Mechanics

Publication details

Journal / source
Communications in Contemporary Mathematics
Publisher
World Scientific Pub Co Pte Ltd
Publication date
15 May 2026
Language
EN