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

Published 17 Apr 2025 in math.AP | (2504.12912v1)

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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