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Semi-classical Schrodinger equations with harmonic potential and nonlinear perturbation
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | CARLES, Rémi | |
| dc.date.accessioned | 2024-04-04T03:14:38Z | |
| dc.date.available | 2024-04-04T03:14:38Z | |
| dc.date.issued | 2003 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194076 | |
| dc.description.abstractEn | Solutions of semi-classical Schrodinger equation with isotropic harmonic potential focus periodically in time. We study the perturbation of this equation by a nonlinear term. If the scaling of this perturbation is critical, each focus crossing is described by a nonlinear scattering operator, which is therefore iterated as many times as the solution passes through a focus. The study of this nonlinear problem is made possible by the introduction of two operators well adapted to Schrodinger equations with harmonic potential, and by suitable Strichartz inequalities. | |
| dc.language.iso | en | |
| dc.subject.en | Harmonic oscillator | |
| dc.subject.en | nonlinear Schrodinger equation | |
| dc.subject.en | scattering theory | |
| dc.subject.en | Maslov index | |
| dc.title.en | Semi-classical Schrodinger equations with harmonic potential and nonlinear perturbation | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/S0294-1449(02)00027-6 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | math.AP/0702656 | |
| bordeaux.journal | Annales I.H.P., Analyse non linéaire | |
| bordeaux.page | no. 3, 501-542 | |
| bordeaux.volume | 20 | |
| 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-00132804 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00132804v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Annales%20I.H.P.,%20Analyse%20non%20lin%C3%A9aire&rft.date=2003&rft.volume=20&rft.spage=no.%203,%20501-542&rft.epage=no.%203,%20501-542&rft.au=CARLES,%20R%C3%A9mi&rft.genre=article |
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