Γ-Limits of convolution functionals
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Date
2010-11-03
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Abstract
We compute the Γ-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 Γ-limit, we obtain free discontinuity functionals with linear growth and with anisotropic surface energy density.
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Keywords
free discontinuities, Γ-convergence, anisotropy