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.File in questo prodotto:
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