$\Gamma$-convergence for strongly local Dirichlet forms in perforated domains with homogeneous Neumann boundary conditions
Résumé
We consider homogenization problems with holes for strongly local Dirichlet forms in the cases of Dirichlet and Neumann homogeneous conditions on the boundaries of holes. The main difficulties arise from the absence of a group structure on the underlying space, then from the non-periodic distribution of the holes and from the absence of classical extension results in the holes. The complete proofs of the results will appear in a forthcoming paper