Inserted: 2 nov 2010
Last Updated: 18 apr 2013
Journal: ESAIM Control Optim. Calc. Var.
We compute the Gamma-limit of a sequence of non-local integral functionals depending on a regularization of the gradient term by means of a convolution kernel. In particular, as Gamma-limit, we obtain free discontinuity functionals with linear growth and with anisotropic surface energy density.
Keywords: Gamma convergence, free discontinuities, anisotropy