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.

Gamma-convergence and integral representation for a class of free discontinuity functionals / Dal Maso, Gianni; Toader, Rodica. - In: JOURNAL OF CONVEX ANALYSIS. - ISSN 0944-6532. - 31:2(2024), pp. 411-476.

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

Dal Maso Gianni;Toader Rodica
2024-01-01

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.
2024
31
2
411
476
https://www.heldermann.de/JCA/JCA31/JCA312/jca31025.htm
Dal Maso, Gianni; Toader, Rodica
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/141950
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