Finite Difference Approximation of Free Discontinuity Problems

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dc.creatorGobbino, Massimo
dc.creatorMora, Maria Giovanna
dc.date2000-06-08
dc.date.accessioned2026-07-07T04:35:47Z
dc.date.available2026-07-07T04:35:47Z
dc.descriptionWe approximate functionals depending on the gradient of $u$ and on the behaviour of $u$ near the discontinuity points, by families of non-local functionals where the gradient is replaced by finite differences. We prove pointwise convergence, $Γ$-convergence, and a compactness result which implies, in particular, the convergence of minima and minimizers.
dc.description39 pages. to appear on Proc. Royal Soc. Edinb. Ser. A
dc.identifierhttps://arxiv.org/abs/math/0006059
dc.identifierhttp://arxiv.org/abs/math/0006059
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59373
dc.subjectFunctional Analysis
dc.titleFinite Difference Approximation of Free Discontinuity Problems
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