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An extension theorem in SBV and an application to the homogenization of the Mumford–Shah functional in perforated domains

Authors :
Cagnetti, F.
Scardia, L.
Source :
Journal de Mathematiques Pures et Appliquees. Apr2011, Vol. 95 Issue 4, p349-381. 33p.
Publication Year :
2011

Abstract

Abstract: The aim of this paper is to prove the existence of extension operators for SBV functions from periodically perforated domains. This result will be the fundamental tool to prove the compactness in a noncoercive homogenization problem. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
00217824
Volume :
95
Issue :
4
Database :
Academic Search Index
Journal :
Journal de Mathematiques Pures et Appliquees
Publication Type :
Academic Journal
Accession number :
59327833
Full Text :
https://doi.org/10.1016/j.matpur.2010.03.002