Long time existence for the semi-linear beam equation on irrational tori of dimension two
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | IMEKRAZ, Rafik | |
| dc.date.accessioned | 2024-04-04T02:55:22Z | |
| dc.date.available | 2024-04-04T02:55:22Z | |
| dc.date.issued | 2016-10-01 | |
| dc.identifier.issn | 0951-7715 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192357 | |
| dc.description.abstractEn | We prove a long time existence result for the semi-linear beam equation with small and smooth initial data. We use a regularizing effect of the structure of beam equations and a very weak separation property of the spectrum of an irrational torus under a Diophantine assumption on the radius. Our approach is inspired from a paper by Zhang about the Klein-Gordon equation with a quadratic potential. | |
| dc.language.iso | en | |
| dc.publisher | IOP Publishing | |
| dc.subject.en | beam equation | |
| dc.subject.en | Klein-Gordon equation | |
| dc.subject.en | normal form | |
| dc.subject.en | irrational torus | |
| dc.title.en | Long time existence for the semi-linear beam equation on irrational tori of dimension two | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1088/0951-7715/29/10/3067 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Nonlinearity | |
| bordeaux.page | 3067-3102 | |
| bordeaux.volume | 29 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 10 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02507891 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02507891v1 | |
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