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dc.contributor.authorDolbeault, Jean
dc.contributor.authorGarcia-Huidobro, Marta
dc.contributor.authorManásevich, Raul
dc.date.accessioned2019-03-25T10:28:15Z
dc.date.available2019-03-25T10:28:15Z
dc.date.issued2019
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/18553
dc.language.isoenen
dc.subjectnonlinear Keller-Lieb-Thirring energy estimatesen
dc.subjectperioden
dc.subjectrescalingen
dc.subjectuniquenessen
dc.subjectPoincaré inequalityen
dc.subjectrigidityen
dc.subjectInterpolationen
dc.subjectGagliardo-Nirenberg inequalitiesen
dc.subjectbifurcationen
dc.subjectbranches of solutionsen
dc.subjectelliptic equationsen
dc.subjectp-Laplacianen
dc.subjectentropyen
dc.subjectFisher informationen
dc.subjectcarré du champ methoden
dc.subject.ddc515en
dc.titleInterpolation inequalities in W1,p(S1) and carré du champ methodsen
dc.typeDocument de travail / Working paper
dc.description.abstractenThis paper is devoted to an extension of rigidity results for nonlinear differential equations, based on carré du champ methods, in the one-dimensional periodic case. The main result is an interpolation inequality with non-trivial explicit estimates of the constants in W1,p(S1) with p ≥ 2. Mostly for numerical reasons, we relate our estimates with issues concerning periodic dynamical systems. Our interpolation inequalities have a dual formulation in terms of generalized spectral estimates of Keller-Lieb-Thirring type, where the differential operator is now a p-Laplacian type operator. It is remarkable that the carré du champ method adapts to such a nonlinear framework, but significant changes have to be done and, for instance, the underlying parabolic equation has a nonlocal term whenever p≠2.en
dc.publisher.nameCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.publisher.cityParisen
dc.identifier.citationpages19en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-02003141en
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.identifier.citationdate2019-02
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2019-03-25T10:25:31Z
hal.person.labIds60
hal.person.labIds109842
hal.person.labIds63$$$18014


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