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Remarks on the Cwikel-Lieb-Rozenblum and Lieb-Thirring Estimates for Schrödinger Operators on Riemannian Manifolds

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorOUHABAZ, El Maati
dc.date.accessioned2024-04-04T02:17:06Z
dc.date.available2024-04-04T02:17:06Z
dc.date.created2009
dc.date.issued2010
dc.identifier.issn0167-8019
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189197
dc.description.abstractEnLet M be a general complete Riemannian manifold and consider a Schrödinger operator − + V on L2(M). We prove Cwikel-Lieb-Rozenblum as well as Lieb-Thirring type estimates for − + V . These estimates are given in terms of the potential and the heat kernel of the Laplacian on the manifold. Some of our results hold also for Schrödinger operators with complex-valued potentials.
dc.language.isoen
dc.publisherSpringer Verlag
dc.subject.enSpectral theory
dc.subject.enSchrödinger operator
dc.subject.enCwikel-Lieb-Rozenblum estimates
dc.subject.enLieb-Thirring estimates
dc.subject.enRiemannian manifolds
dc.title.enRemarks on the Cwikel-Lieb-Rozenblum and Lieb-Thirring Estimates for Schrödinger Operators on Riemannian Manifolds
dc.typeArticle de revue
dc.identifier.doi10.1007/s10440-009-9519-0
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
bordeaux.journalActa Applicandae Mathematicae
bordeaux.page1449-1459
bordeaux.volume110
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00998106
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00998106v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Acta%20Applicandae%20Mathematicae&rft.date=2010&rft.volume=110&rft.spage=1449-1459&rft.epage=1449-1459&rft.eissn=0167-8019&rft.issn=0167-8019&rft.au=OUHABAZ,%20El%20Maati&rft.genre=article


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