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

Article English OPEN
Cagnetti, F. ; Scardia, L. (2011)
  • Publisher: Elsevier
  • Journal: Journal de Mathématiques Pures et Appliquées, volume 95, issue 4, pages 349-381 (issn: 0021-7824)
  • Related identifiers: doi: 10.1016/j.matpur.2010.03.002
  • Subject: QA | Applied Mathematics | Mathematics(all)
    arxiv: Mathematics::Analysis of PDEs

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 non coercive homogenization problem.
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