Preprint

Inserted: 12 may 2025

Year: 2025

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 $[15]$.