On the regularity of a free boundary near contact points with a fixed boundary
type: Item
instance of: scholarly article
title: On the regularity of a free boundary near contact points with a fixed boundary
zbMATH Open document ID: 1106.35143
published in: Journal of Differential Equations
publication date: 2007-01-16T00:00:00Z
review text: The author investigates the regularity of a free boundary near contact points with a fixed boundary with \(C^{1,1}\) boundary data, for an obstacle-like free boundary problem. It is shown that, under appropriate assumptions on the solution and the boundary function, the free boundary is uniformly \(C^1\) up to the fixed boundary. Suitable examples of irregular free boundaries are also given.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 35J85
zbMATH DE Number: 5116273
zbMATH Keywords: regularity
zbMATH Keywords: free boundary problems
zbMATH Keywords: fixed \(C^{1,1}\) boundary
zbMATH Keywords: free \(C^1\) boundary
zbMATH Keywords: obstacle problem
author: J. Andersson
MaRDI profile type: Publication
full work available at URL: j.jde.2006.06.012
OpenAlex ID: W2066412970
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DOI: 10.1016/J.JDE.2006.06.012
description: scientific article; zbMATH DE number 5116273