| dc.contributor.author | Dolbeault, Jean | |
| dc.contributor.author | Garcia-Huidobro, Marta | |
| dc.contributor.author | Manásevich, Raul | |
| dc.date.accessioned | 2019-03-25T10:28:15Z | |
| dc.date.available | 2019-03-25T10:28:15Z | |
| dc.date.issued | 2019 | |
| dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/18553 | |
| dc.language.iso | en | en |
| dc.subject | nonlinear Keller-Lieb-Thirring energy estimates | en |
| dc.subject | period | en |
| dc.subject | rescaling | en |
| dc.subject | uniqueness | en |
| dc.subject | Poincaré inequality | en |
| dc.subject | rigidity | en |
| dc.subject | Interpolation | en |
| dc.subject | Gagliardo-Nirenberg inequalities | en |
| dc.subject | bifurcation | en |
| dc.subject | branches of solutions | en |
| dc.subject | elliptic equations | en |
| dc.subject | p-Laplacian | en |
| dc.subject | entropy | en |
| dc.subject | Fisher information | en |
| dc.subject | carré du champ method | en |
| dc.subject.ddc | 515 | en |
| dc.title | Interpolation inequalities in W1,p(S1) and carré du champ methods | en |
| dc.type | Document de travail / Working paper | |
| dc.description.abstracten | This 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.name | Cahier de recherche CEREMADE, Université Paris-Dauphine | en |
| dc.publisher.city | Paris | en |
| dc.identifier.citationpages | 19 | en |
| dc.relation.ispartofseriestitle | Cahier de recherche CEREMADE, Université Paris-Dauphine | en |
| dc.identifier.urlsite | https://hal.archives-ouvertes.fr/hal-02003141 | en |
| dc.subject.ddclabel | Probabilités et mathématiques appliquées | en |
| dc.identifier.citationdate | 2019-02 | |
| dc.description.ssrncandidate | non | en |
| dc.description.halcandidate | non | en |
| dc.description.readership | recherche | en |
| dc.description.audience | International | en |
| dc.date.updated | 2019-03-25T10:25:31Z | |
| hal.person.labIds | 60 | |
| hal.person.labIds | 109842 | |
| hal.person.labIds | 63$$$18014 | |
