Calculus of Variations and Geometric Measure Theory

M. Morini

Sequences of singularly perturbed problems generating free-discontinuity problems

created on 26 Sep 2001
modified on 09 Jun 2004


Published Paper

Inserted: 26 sep 2001
Last Updated: 9 jun 2004

Journal: SIAM Journal of Mathematical Analysis
Year: 2003


We prove that a wide class of singularly perturbed problems generates as $\Gamma$-limit a functional related to a free-discontinuity problem. Several applications of the result are presented.

Keywords: $\Gamma$-convergence, Free-discontinuity problems, singular perturbations