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Counting function of magnetic resonances for exterior problems

dc.contributor.authorSAMBOU, Diomba
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBRUNEAU, Vincent
dc.date.accessioned2024-04-04T03:11:27Z
dc.date.available2024-04-04T03:11:27Z
dc.date.issued2016
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193779
dc.description.abstractEnWe study the asymptotic distribution of the resonances near the Landau levels , , of the Dirichlet (resp. Neumann, resp. Robin) realization in the exterior of a compact domain of of the 3D Schrodinger operator with constant magnetic field of scalar intensity . We investigate the corresponding resonance counting function and obtain the main asymptotic term. In particular, we prove the accumulation of resonances at the Landau levels and the existence of resonance-free sectors. In some cases, it provides the discreteness of the set of embedded eigenvalues near the Landau levels
dc.language.isoen
dc.title.enCounting function of magnetic resonances for exterior problems
dc.typeArticle de revue
dc.identifier.doi10.1007/s00023-016-0497-2
dc.subject.halMathématiques [math]/Théorie spectrale [math.SP]
dc.identifier.arxiv1505.06026
bordeaux.journalAnnales de l'Institut Henri Poincaré
bordeaux.page3443-3471
bordeaux.volume17
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue12
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01446088
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01446088v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Annales%20de%20l'Institut%20Henri%20Poincar%C3%A9&rft.date=2016&rft.volume=17&rft.issue=12&rft.spage=3443-3471&rft.epage=3443-3471&rft.au=SAMBOU,%20Diomba&BRUNEAU,%20Vincent&rft.genre=article


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