Applications of resonance theory without analyticity assumption
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BONY, Jean-François | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MICHEL, Laurent | |
| hal.structure.identifier | Laboratoire de Mathématiques d'Orsay [LMO] | |
| dc.contributor.author | RAMOND, Thierry | |
| dc.date.accessioned | 2024-04-04T02:48:07Z | |
| dc.date.available | 2024-04-04T02:48:07Z | |
| dc.date.issued | 2021 | |
| dc.identifier.issn | 1424-0637 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191706 | |
| dc.description.abstractEn | We 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.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | Applications of resonance theory without analyticity assumption | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00023-021-01065-w | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.identifier.arxiv | 1912.02091 | |
| bordeaux.journal | Annales Henri Poincaré | |
| bordeaux.page | 3641-3697 | |
| bordeaux.volume | 22 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 11 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02400101 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02400101v1 | |
| bordeaux.COinS | ctx_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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