Validity and failure of the integral representation of Γ-limits of convex non-local functionals

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dc.contributor.areamathematicsen_US
dc.contributor.authorBraides, Andrea
dc.contributor.authorDal Maso, Gianni
dc.date.accessioned2023-05-10T07:01:27Z
dc.date.available2023-05-10T07:01:27Z
dc.date.issued2023-05-09
dc.descriptionPreprint number SISSA/06/2023en_US
dc.description.abstractWe prove an integral-representation result for limits of non-local quadratic forms on H1 0 pΩq, with Ω a bounded open subset of Rd, extending the representation on C8c pΩq given by the Beurling-Deny formula in the theory of Dirichlet forms. We give a counterexample showing that a corresponding representation may not hold if we consider analogous functionals in W1,p0 pΩq, with p ‰ 2 and 1 ă p ď d.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35459
dc.language.isoenen_US
dc.subjectΓ-convergenceen_US
dc.subjectDirichlet formsen_US
dc.subjectnon-local functionalsen_US
dc.subjectintegral representationen_US
dc.titleValidity and failure of the integral representation of Γ-limits of convex non-local functionalsen_US
dc.typePreprinten_US
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