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The Fokker-Planck equation with subcritical confinement force

hal.structure.identifierLaboratoire de Mathématiques de Versailles [LMV]
dc.contributor.authorKavian, Otared
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorMischler, Stéphane
hal.structure.identifierCentre de Recherche en Économie et Statistique [CREST]
dc.contributor.authorNdaoud, Mohamed
HAL ID: 7425
dc.date.accessioned2022-02-11T13:55:33Z
dc.date.available2022-02-11T13:55:33Z
dc.date.issued2021
dc.identifier.issn0021-7824
dc.identifier.urihttps://basepub.dauphine.psl.eu/handle/123456789/22574
dc.language.isoenen
dc.subjectweak Poincaré inequalityen
dc.subjectweak dissipativityen
dc.subjectKrein-Rutman theoremen
dc.subjectspectral mapping theorem Contentsen
dc.subjectFokker-Planck equationen
dc.subjectsemigroupen
dc.subject.ddc515en
dc.titleThe Fokker-Planck equation with subcritical confinement forceen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe consider the Fokker-Planck equation with subcritical confinement force field which may not derive from a potential function. We prove the existence of an equilibrium (in the case of a general force) and we establish some (polynomial and stretch exponential) rate of convergence to the equilibrium (depending on the space to which belongs the initial datum). Our results improve similar results established by Toscani, Villani [29] and Röchner , Wang [27]: the force field is more general, the spaces are more general, the rates are sharper.en
dc.relation.isversionofjnlnameJournal de mathématiques pures et appliquées
dc.relation.isversionofjnlvol151en
dc.relation.isversionofjnldate2021-07
dc.relation.isversionofjnlpages171-211en
dc.relation.isversionofdoi10.1016/j.matpur.2021.04.007en
dc.relation.isversionofjnlpublisherElsevieren
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.description.ssrncandidatenon
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2022-02-11T13:51:39Z
hal.author.functionaut
hal.author.functionaut
hal.author.functionaut


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