Remarks on the Cwikel-Lieb-Rozenblum and Lieb-Thirring Estimates for Schrödinger Operators on Riemannian Manifolds
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | OUHABAZ, El Maati | |
| dc.date.accessioned | 2024-04-04T02:17:06Z | |
| dc.date.available | 2024-04-04T02:17:06Z | |
| dc.date.created | 2009 | |
| dc.date.issued | 2010 | |
| dc.identifier.issn | 0167-8019 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189197 | |
| dc.description.abstractEn | Let 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.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | Spectral theory | |
| dc.subject.en | Schrödinger operator | |
| dc.subject.en | Cwikel-Lieb-Rozenblum estimates | |
| dc.subject.en | Lieb-Thirring estimates | |
| dc.subject.en | Riemannian manifolds | |
| dc.title.en | Remarks on the Cwikel-Lieb-Rozenblum and Lieb-Thirring Estimates for Schrödinger Operators on Riemannian Manifolds | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s10440-009-9519-0 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| bordeaux.journal | Acta Applicandae Mathematicae | |
| bordeaux.page | 1449-1459 | |
| bordeaux.volume | 110 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00998106 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00998106v1 | |
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