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Flows and functional inequalities for fractional operators

dc.contributor.authorDolbeault, Jean
HAL ID: 87
ORCID: 0000-0003-4234-2298
dc.contributor.authorZhang, An
dc.date.accessioned2017-11-27T11:57:50Z
dc.date.available2017-11-27T11:57:50Z
dc.date.issued2017
dc.identifier.issn0003-6811
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17060
dc.language.isoenen
dc.subjectself-similar variables
dc.subjectRényi entropy powers
dc.subjectcarré du champ
dc.subjectfractional Gagliardo-Nirenberg-Sobolev inequality
dc.subjectfractional Sobolev inequality
dc.subjectfractional fast diffusion equation
dc.subjectself-similar solutions
dc.subjectasymptotic behavior
dc.subjectintermediate asymptotics
dc.subjectrate of convergence
dc.subjectentropy methods
dc.subjectentropy – entropy production inequality
dc.subject.ddc515en
dc.titleFlows and functional inequalities for fractional operators
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThis paper collects results concerning global rates and large time asymptotics of a fractional fast diffusion on the Euclidean space, which is deeply related with a family of fractional Gagliardo-Nirenberg-Sobolev inequalities. Generically, self-similar solutions are not optimal for the Gagliardo-Nirenberg-Sobolev inequalities, in strong contrast with usual standard fast diffusion equations based on non-fractional operators. Various aspects of the stability of the self-similar solutions and of the entropy methods like carré du champ and Rényi entropy powers methods are investigated and raise a number of open problems.
dc.relation.isversionofjnlnameApplicable Analysis
dc.relation.isversionofjnlvol96
dc.relation.isversionofjnlissue9
dc.relation.isversionofjnldate2017
dc.relation.isversionofjnlpages1547-1560
dc.relation.isversionofdoi10.1080/00036811.2017.1286647
dc.relation.isversionofjnlpublisherGordon and Breach
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2017-12-15T13:56:56Z


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