Perturbative estimates for the one-phase Stefan Problem

2020/07/16 by De Silva, Daniela, Forcillo, Nicolo, Savin, Ovidiu · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2007.08611

Abstract

We provide perturbative estimates for the one-phase Stefan free boundary problem and obtain the regularity of flat free boundaries via a linearization technique in the spirit of the elliptic counterpart established by the first author.

Cited by

• Fully nonlinear parabolic fixed transmission problems

Related

• Free boundary regularity for the inhomogeneous one-phase Stefan problem
• Free boundary regularity in nonlinear one-phase Stefan problem
• On the Geometry of Solutions of the Fully Nonlinear Inhomogeneous One-Phase Stefan Problem
• Well-posedness for the classical Stefan problem and the zero surface tension limit
• The Hele-Shaw problem as a "Mesa" limit of Stefan problems: Existence, uniqueness, and regularity of the free boundary