Calculus of Variations and Geometric Measure Theory

G. Dal Maso - R. Toader

Gamma-convergence and integral representation for a class of free discontinuity functionals

created by dalmaso on 07 May 2023
modified on 18 May 2023

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Preprint

Inserted: 7 may 2023
Last Updated: 18 may 2023

Year: 2023

Abstract:

We study the Gamma-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 Gamma-limit, which lead to an integral representation result by means of integrands obtained by solving some auxiliary minimum problems on small cubes.


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