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

Research output: Contribution to journal › Article › Academic › peer-review

24 Citations (Scopus)

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.

Original language	English
Pages (from-to)	349-381
Number of pages	33
Journal	Journal de Mathématiques Pures et Appliquées
Volume	95
Issue number	4
DOIs	https://doi.org/10.1016/j.matpur.2010.03.002
Publication status	Published - 2011

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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.",

author = "F. Cagnetti and L. Scardia",

year = "2011",

doi = "10.1016/j.matpur.2010.03.002",

language = "English",

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AU - Cagnetti, F.

AU - Scardia, L.

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

U2 - 10.1016/j.matpur.2010.03.002

DO - 10.1016/j.matpur.2010.03.002

M3 - Article

SN - 0021-7824

VL - 95

SP - 349

EP - 381

JO - Journal de Mathématiques Pures et Appliquées

JF - Journal de Mathématiques Pures et Appliquées

IS - 4

ER -

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

Abstract

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