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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBONY, Jean-François
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMICHEL, Laurent
hal.structure.identifierLaboratoire de Mathématiques d'Orsay [LMO]
dc.contributor.authorRAMOND, Thierry
dc.date.accessioned2024-04-04T02:48:07Z
dc.date.available2024-04-04T02:48:07Z
dc.date.issued2021
dc.identifier.issn1424-0637
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191706
dc.description.abstractEnWe prove that the results in scattering theory that involve resonances are still valid for non-analytic potentials, even if the notion of resonance is not defined in this setting. More precisely, we show that if the potential of a semiclassical Schrödinger operator is supposed to be smooth and to decrease at infinity, the usual formulas relating scattering quantities and resonances still hold. The main ingredient for the proofs is a resolvent estimate of a new type, relating the resolvent of an operator with the resolvent of its cut-off counterpart.
dc.language.isoen
dc.publisherSpringer Verlag
dc.title.enApplications of resonance theory without analyticity assumption
dc.typeArticle de revue
dc.identifier.doi10.1007/s00023-021-01065-w
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Théorie spectrale [math.SP]
dc.subject.halMathématiques [math]/Physique mathématique [math-ph]
dc.identifier.arxiv1912.02091
bordeaux.journalAnnales Henri Poincaré
bordeaux.page3641-3697
bordeaux.volume22
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue11
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02400101
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02400101v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Annales%20Henri%20Poincar%C3%A9&rft.date=2021&rft.volume=22&rft.issue=11&rft.spage=3641-3697&rft.epage=3641-3697&rft.eissn=1424-0637&rft.issn=1424-0637&rft.au=BONY,%20Jean-Fran%C3%A7ois&MICHEL,%20Laurent&RAMOND,%20Thierry&rft.genre=article


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