Sequences of non-local functionals which approximate free-discontinuity problems

DOI10.1007/s002050050121zbMath0926.49007OpenAlexW1977583307MaRDI QIDQ1275904

Guido Cortesani

Publication date: 21 November 1999

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002050050121

zbMATH Keywords

integral functionalsGamma-convergenceMumford-Shah functionalfree discontinuityspecial functions of bounded variationSBVnon local functionals

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (8)

ON THE VARIATIONAL APPROXIMATION OF FREE-DISCONTINUITY PROBLEMS IN THE VECTORIAL CASE ⋮ On some non-local approximation of nonisotropic Griffith-type functionals ⋮ The $\Gamma $-limit and the related gradient flow for singular perturbation functionals of Perona-Malik type ⋮ An approximation result for free discontinuity functionals by means of non-local energies ⋮ The Γ-limit for singularly perturbed functionals of Perona–Malik type in arbitrary dimension ⋮ On non-locality in the calculus of variations ⋮ Non-local approximation of free-discontinuity problems with linear growth ⋮ A nonlocal approximation of free discontinuity problems in SBV and SBD

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