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arXiv · 2504.12912

On the Geometry of Solutions of the Fully Nonlinear Inhomogeneous One-Phase Stefan Problem

Fausto Ferrari·Davide Giovagnoli·David Jesus
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Abstract

In this paper, we characterize the geometry of solutions to one-phase inhomogeneous fully nonlinear Stefan problem with flat free boundaries under a new nondegeneracy assumption. This continues the study of regularity of flat free boundaries for the linear inhomogeneous Stefan problem started in [9], as well as justifies the definition of flatness assumed in [15].

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Fausto Ferrari, Davide Giovagnoli, David Jesus. 2025-04-17. On the Geometry of Solutions of the Fully Nonlinear Inhomogeneous One-Phase Stefan Problem. https://arxiv.org/abs/2504.12912

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