Fully nonlinear phase transition problems with flat free boundaries.
type: Item
instance of: scholarly article
title: Fully nonlinear phase transition problems with flat free boundaries.
zbMATH Open document ID: 1240.35582
author: Emmanouil Milakis
published in: Differential and Integral Equations
publication date: 2011-09-01T00:00:00Z
review text: In the paper the author continues his study on the regularity theory of Stefan-like free boundary problems. Fully nonlinear parabolic phase transition problems are considered, and it is shown that the degenerate Lipschitz free boundaries are actually \(C^1\) graphs in space and time, provided that the Lipschitz constant in space is sufficiently small. This removes the nondegeneracy condition assumed in author's paper [Indiana Univ. Math. J. 54, No. 6, 1751--1768 (2005; Zbl 1092.35044)].
reviewed by: Hana Petzeltová
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 5944736
zbMATH Keywords: phase transition
zbMATH Keywords: flat free boundary
zbMATH Keywords: fully nonlinear problem
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5944736