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

F. Cagnetti; L. Scardia

doi:10.1016/j.matpur.2010.03.002

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

F. Cagnetti, L. Scardia

Mechanics of Materials

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

21 Citaten (Scopus)

Samenvatting

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.

Originele taal-2	Engels
Pagina's (van-tot)	349-381
Aantal pagina's	33
Tijdschrift	Journal de Mathématiques Pures et Appliquées
Volume	95
Nummer van het tijdschrift	4
DOI's	https://doi.org/10.1016/j.matpur.2010.03.002
Status	Gepubliceerd - 2011

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10.1016/j.matpur.2010.03.002

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

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 non coercive homogenization problem.",

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DO - 10.1016/j.matpur.2010.03.002

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

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