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

作者：Cagnetti F^*; Scardia L

来源：Journal de Mathematiques Pures et Appliquees, 2011, 95(4): 349-381.

DOI：10.1016/j.matpur.2010.03.002

• Extension theorem
• Homogenization
• Gamma-convergence
• Integral representation
• Brittle fracture
• Mumford-Shah functional

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.

• 出版日期2011-4