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dc.contributor.authorBolley, François
dc.contributor.authorGentil, Ivan
dc.date.accessioned2010-03-22T13:25:25Z
dc.date.available2010-03-22T13:25:25Z
dc.date.issued2010
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/3751
dc.language.isoenen
dc.subjectFokker-Planck equationen
dc.subjectDiffusion semigroupsen
dc.subjectBakry-Emery criterionen
dc.subjectPhi-entropiesen
dc.subjectPoincaré inequalityen
dc.subjectFunctional inequalitiesen
dc.subjectlogarithmic Sobolev inequalityen
dc.subject.ddc519en
dc.titlePhi-entropy inequalities for diffusion semigroupsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe obtain and study new $\Phi$-entropy inequalities for diffusion semigroups, with Poincaré or logarithmic Sobolev inequalities as particular cases. From this study we derive the asymptotic behaviour of a large class of linear Fokker-Plank type equations under simple conditions, widely extending previous results. Nonlinear diffusion equations are also studied by means of these inequalities. The $\Gamma_2$ criterion of D.~Bakry and M. Emery appears as a main tool in the analysis, in local or integral forms.en
dc.relation.isversionofjnlnameJournal de Mathématiques Pures et Appliquées
dc.relation.isversionofjnlvol93
dc.relation.isversionofjnlissue5
dc.relation.isversionofjnldate2010-05
dc.relation.isversionofjnlpages449-473
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/j.matpur.2010.02.004
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00344163/en/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherElsevier
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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