Γ-CONVERGENCE AND INTEGRAL REPRESENTATION FOR A CLASS OF FREE DISCONTINUITY FUNCTIONALS
Date
2023-05-05
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Abstract
We study the Γ -limits of sequences of free discontinuity functionals with
linear growth, assuming that the surface energy density is bounded. We determine the
relevant properties of the Γ -limit, which lead to an integral representation result by
means of integrands obtained by solving some auxiliary minimum problems on small
cubes.
Description
Preprint number:
SISSA 05/2023/MATE
Keywords
free discontinuity problems, Γ -convergence, integral representation, blow-up method