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hal.structure.identifierDepartamento de Matemáticas
dc.contributor.authorBonforte, Matteo
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorDolbeault, Jean
HAL ID: 87
ORCID: 0000-0003-4234-2298
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
hal.structure.identifierStatistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne) [SAMM]
dc.contributor.authorNazaret, Bruno
HAL ID: 7130
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorSimonov, Nikita
dc.date.accessioned2020-10-08T11:38:11Z
dc.date.available2020-10-08T11:38:11Z
dc.date.issued2020
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/21087
dc.language.isoenen
dc.subjectStabilityen
dc.subjectEntropy methodsen
dc.subjectHarnack Principleen
dc.subjectGagliardo-Nirenberg inequalityen
dc.subjectFast diffusion equationen
dc.subjectAsymptotic behavioren
dc.subjectSelf-similar Barenblatt so-lutionsen
dc.subjectRates of convergenceen
dc.subjectSpectral gapen
dc.subjectHardy-Poincaré inequalitiesen
dc.subjectIntermediate asymptoticsen
dc.subject.ddc515en
dc.titleStability in Gagliardo-Nirenberg inequalitiesen
dc.typeDocument de travail / Working paper
dc.description.abstractenThe purpose of this paper is to establish a quantitative and constructive stability result for a class of subcritical Gagliardo-Nirenberg inequalities. We develop a new strategy, in which the flow of the fast diffusion equation is used as a tool: a stability result in the inequality is equivalent to an improved rate of convergence to equilibrium for the flow. In both cases, the tail behaviour plays a key role. The regularity properties of the parabolic flow allow us to connect an improved entropy-entropy production inequality during the initial time layer to spectral properties of a suitable linearized problem which is relevant for the asymp-totic time layer. Altogether, the stability in the inequalities is measured by a deficit which controls in strong norms the distance to the manifold of optimal functions.en
dc.identifier.citationpages52en
dc.relation.ispartofseriestitleCahier de recherche CEREMADEen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-02887010en
dc.subject.ddclabelAnalyseen
dc.identifier.citationdate2020-07
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2020-10-08T11:33:05Z
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