Homogenization of random fractional obstacle problems via $Γ$-convergence

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dc.creatorFocardi, M.
dc.date2009-02-16
dc.date.accessioned2026-07-07T12:42:16Z
dc.date.available2026-07-07T12:42:16Z
dc.description$Γ$-convergence methods are used to prove homogenization results for fractional obstacle problems in periodically perforated domains. The obstacles have random sizes and shapes and their capacity scales according to a stationary ergodic process. We use a trace-like representation of fractional Sobolev norms in terms of weighted Sobolev energies established by Caffarelli and Silvestre, a weighted ergodic theorem and a joining lemma in varying domains following the approach by Ansini and Braides. Our proof is alternative to those contained in the papers by Caffarelli and Mellet.
dc.identifierhttps://arxiv.org/abs/0902.2683
dc.identifierhttp://arxiv.org/abs/0902.2683
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220015
dc.subjectClassical Analysis and ODEs
dc.subject35B27, 49J45
dc.titleHomogenization of random fractional obstacle problems via $Γ$-convergence
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