Inserted: 6 oct 2008
Last Updated: 13 nov 2013
Journal: J. Math. Pures Appl.
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.
Keywords: Homogenization, Brittle fracture, $\Gamma$-convergence, extension theorem