On the Geometry of Solutions of the Fully Nonlinear Inhomogeneous One-Phase Stefan Problem
Analysis of PDEs
2025-04-18 v1
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].
Cite
@article{arxiv.2504.12912,
title = {On the Geometry of Solutions of the Fully Nonlinear Inhomogeneous One-Phase Stefan Problem},
author = {Fausto Ferrari and Davide Giovagnoli and David Jesus},
journal= {arXiv preprint arXiv:2504.12912},
year = {2025}
}