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dc.contributor.authorPaturel, Eric
dc.contributor.authorDolbeault, Jean
dc.contributor.authorFelmer, Patricio
dc.contributor.authorLoss, Michael
dc.date.accessioned2009-07-06T15:23:53Z
dc.date.available2009-07-06T15:23:53Z
dc.date.issued2006
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/842
dc.descriptionNew references addeden
dc.language.isoenen
dc.subjectGagliardo-Nirenberg inequalities for systems
dc.subjectsystems of nonlinear Schrödinger equations
dc.subjectfree energy
dc.subjectdynamical stability in quantum systems
dc.subjectoccupation numbers
dc.subjectmixed states
dc.subjectstability of matter
dc.subjectWeyl asymptotics
dc.subjectasymptotic distribution of eigenvalues
dc.subjectSchrödinger operator
dc.subjectLieb-Thirring inequality
dc.subjectoptimal constants
dc.subjectGagliardo-Nirenberg inequality
dc.subjectorthonormal and sub-orthonormal systems
dc.subjectGamma function
dc.subjectlogarithmic Sobolev inequality
dc.subject.ddc519en
dc.titleLieb-Thirring type inequalities and Gagliardo-Nirenberg inequalities for systemsen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherCNRS - Université de Nantes - Ecole Centrale de Nantes;France
dc.contributor.editoruniversityotherGeorgia Institute of Technology;États-Unis
dc.contributor.editoruniversityotherUniversidad de Chile;Chili
dc.description.abstractenWe prove a Lieb-Thirring type inequality for potentials such that the associated Schrödinger operator has a pure discrete spectrum made of an unbounded sequence of eigenvalues. This inequality is equivalent to a generalized Gagliardo-Nirenberg inequality for systems. As a special case, we prove a logarithmic Sobolev inequality for infinite systems of mixed states. Optimal constants are determined and free energy estimates in connection with mixed states representations are also investigated.en
dc.relation.isversionofjnlnameJournal of Functional Analysis
dc.relation.isversionofjnlvol238en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate2006
dc.relation.isversionofjnlpages193-220en
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/j.jfa.2005.11.008
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherElsevier
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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