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 19 Oct 2024

[BibTeX]

Accepted Paper

Inserted: 7 may 2023
Last Updated: 19 oct 2024

Journal: J. Convex Anal.
Volume: 31
Number: 2
Pages: 411-476
Year: 2024

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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