The variable coefficient thin obstacle problem: optimal regularity and regularity of the regular free boundary

This article deals with the variable coefficient thin obstacle problem in $n+1$ dimensions. We address the regular free boundary regularity, the behavior of the solution close to the free boundary and the optimal regularity of the solution in a low regularity set-up. We first discuss the case of zer...

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Bibliographic Details
Main Authors: Koch, Herbert (Author) , Rüland, Angkana (Author) , Shi, Wenhui (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 14 Apr 2015
In: Arxiv
Year: 2015, Pages: 1-62
Online Access:Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/1504.03525
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Author Notes:Herbert Koch, Angkana Rüland, and Wenhui Shi