Journal
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
Volume 95, Issue 4, Pages 349-381Publisher
ELSEVIER
DOI: 10.1016/j.matpur.2010.03.002
Keywords
Extension theorem; Homogenization; Gamma-convergence; Integral representation; Brittle fracture; Mumford-Shah functional
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Funding
- NSF [DMS-0405343, DMS-0635983]
- Marie Curie Research Training Network [MRTN-CT-2004-505226 (MULTIMAT)]
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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. (C) 2010 Elsevier Masson SAS. All rights reserved.
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