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.
Lussardi, L., Magni, A., Gamma-limits of convolution functionals, <<ESAIM. COCV>>, 2013; 19 (Aprile): 486-515. [doi:10.1051/cocv/2012018] [http://hdl.handle.net/10807/43508]
Gamma-limits of convolution functionals
Lussardi, Luca;
2013
Abstract
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.
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