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hal.structure.identifierLaboratoire de Probabilités et Modèles Aléatoires [LPMA]
dc.contributor.authorDelarue, François
HAL ID: 8630
*
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorRhodes, Rémi*
dc.date.accessioned2010-02-04T11:29:18Z
dc.date.available2010-02-04T11:29:18Z
dc.date.issued2009
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/3254
dc.language.isoenen
dc.subjectStochastic homogenizationen
dc.subjectparabolic PDEen
dc.subjectnonlinear PDEen
dc.subjectdegenerate PDEen
dc.subjectfirst order approximationen
dc.subjectergodic operatoren
dc.subject.ddc519en
dc.titleStochastic Homogenization of Quasilinear PDEs with a Spatial Degeneracyen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversité Pierre et Marie Curie - Paris VI – Université Paris-Diderot - Paris VII;France
dc.description.abstractenWe investigate stochastic homogenization for some degenerate quasilinear pa rabolic PDEs. The underlying nonlinear operator degenerates along the space variable, uniformly in the nonlinear term: the degeneracy points correspond to the degeneracy points of a reference diffusion operator on the random medium. Assuming that this reference diffusion operator is ergodic, we can prove the homogenization property for the quasilinear PDEs, by means of the first order approximation method. The (nonlinear) limit operator needn't be nondegenerate. Concrete examples are provided.en
dc.relation.isversionofjnlnameAsymptotic Analysis
dc.relation.isversionofjnlvol61en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate2009
dc.relation.isversionofjnlpages61-90en
dc.relation.isversionofdoihttp://dx.doi.org//10.3233/ASY-2008-0925en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00141167/en/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherIOS Pressen
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
hal.author.functionaut
hal.author.functionaut


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