Barrier-top resonances for non globally analytic potentials
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BONY, Jean-Francois | |
| hal.structure.identifier | Graduate School of Material Science | |
| dc.contributor.author | FUJIIE, Setsuro | |
| hal.structure.identifier | Laboratoire de Mathématiques d'Orsay [LMO] | |
| dc.contributor.author | RAMOND, Thierry | |
| hal.structure.identifier | Laboratoire Analyse, Géométrie et Applications [LAGA] | |
| dc.contributor.author | ZERZERI, Maher | |
| dc.date.accessioned | 2024-04-04T02:48:05Z | |
| dc.date.available | 2024-04-04T02:48:05Z | |
| dc.date.issued | 2019 | |
| dc.identifier.issn | 1664-039X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191704 | |
| dc.description.abstractEn | We give the semiclassical asymptotic of barrier-top resonances for Schrödinger operators on R n , n ≥ 1, whose potential is C ∞ everywhere and analytic at infinity. In the globally analytic setting, this has already been obtained in [6, 24]. Our proof is based on a propagation of singularities theorem at a hyperbolic fixed point that we establish here. This last result refines a theorem of [3], and its proof follows another approach. | |
| dc.language.iso | en | |
| dc.publisher | European Mathematical Society | |
| dc.subject.en | semiclassical asymptotics | |
| dc.subject.en | microlocal analysis | |
| dc.subject.en | hyperbolic fixed point | |
| dc.subject.en | propagation of singularities | |
| dc.subject.en | Schrödinger operators | |
| dc.title.en | Barrier-top resonances for non globally analytic potentials | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.4171/JST/249 | |
| 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] | |
| bordeaux.journal | Journal of Spectral Theory | |
| bordeaux.page | 315-348 | |
| bordeaux.volume | 9 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02400050 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02400050v1 | |
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