Geodesic
Γ-Convergence and Integral Representation for a Class of Free Discontinuity Functionals
Journal of convex analysis, Tome 31 (2024) no. 2, pp. 411-476
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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.
Classification : 49J45, 49Q20, 74Q05, 74E30
Mots-clés : Free discontinuity problems, Gamma-convergence, integral representation, blow-up method 
@article{JCA_2024_31_2_JCA_2024_31_2_a5,
     author = {G. Dal Maso and R. Toader},
     title = {\ensuremath{\Gamma}-Convergence and {Integral} {Representation} for a {Class} of {Free} {Discontinuity} {Functionals}},
     journal = {Journal of convex analysis},
     pages = {411--476},
     year = {2024},
     volume = {31},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2024_31_2_JCA_2024_31_2_a5/}
}
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G. Dal Maso; R. Toader. Γ-Convergence and Integral Representation for a Class of Free Discontinuity Functionals. Journal of convex analysis, Tome 31 (2024) no. 2, pp. 411-476. http://geodesic.mathdoc.fr/item/JCA_2024_31_2_JCA_2024_31_2_a5/