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dc.contributor.authorImbert, Cyril
dc.contributor.authorGentil, Ivan
dc.date.accessioned2009-07-02T17:16:52Z
dc.date.available2009-07-02T17:16:52Z
dc.date.issued2008
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/700
dc.language.isoenen
dc.subjectfractional Laplacianen
dc.subjectlogarithmic Sobolev inequalitiesen
dc.subjectentropy production methoden
dc.subjectPhi-entropy inequalitiesen
dc.subjectLévy operatoren
dc.subjectFokker-Planck equationen
dc.subject.ddc515en
dc.titleThe Lévy-Fokker-Planck equation: Phi-entropies and convergence to equilibriumen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversité de Montpellier II - Sciences et Techniques du Languedoc;France
dc.description.abstractenIn this paper, we study a Fokker-Planck equation of the form u_t = I [u ] + div (x u) where the operator I [u], which is usually the Laplacian, is replaced with a general Lévy operator. We prove by the entropy production method the exponential decay in time of the solution to the only steady state of the associated equation.en
dc.relation.isversionofjnlnameAsymptotic Analysis
dc.relation.isversionofjnlvol59en
dc.relation.isversionofjnlissue3-4en
dc.relation.isversionofjnldate2008
dc.relation.isversionofjnlpages125-138en
dc.relation.isversionofdoihttp://dx.doi.org/10.3233/ASY-2008-0887
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00113806/en/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherIOS Press
dc.subject.ddclabelAnalyseen


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