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

Filippo Cagnetti
Carnegie Mellon University
Department of Mathematical Sciences
Pittsburgh, PA 15213
cagnetti@andrew.cmu.edu

and

Lucia Scardia
Max Planck Institut für Mathematik in den Naturwissenschaften
Leipzig, Germany
scardia@mis.mpg.de