Decay and non-decay of the local energy for the wave equation in the De Sitter - Schwarzschild metric
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BONY, Jean-Francois | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HÄFNER, Dietrich | |
| dc.date.accessioned | 2024-04-04T02:53:28Z | |
| dc.date.available | 2024-04-04T02:53:28Z | |
| dc.date.issued | 2008 | |
| dc.identifier.issn | 0010-3616 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192177 | |
| dc.description.abstractEn | We describe an expansion of the solution of the wave equation in the De Sitter - Schwarzschild metric in terms of resonances. The main term in the expansion is due to a zero resonance. The error term decays polynomially if we permit a logarithmic derivative loss in the angular directions and exponentially if we permit an small derivative loss in the angular directions. | |
| dc.description.sponsorship | Equations hyperboliques dans des espaces-temps de la relativité générale : diffusion et résonances. - ANR-05-JCJC-0087 | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | Decay and non-decay of the local energy for the wave equation in the De Sitter - Schwarzschild metric | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Physique [physics]/Relativité Générale et Cosmologie Quantique [gr-qc] | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.subject.hal | Physique [physics]/Physique mathématique [math-ph] | |
| dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| bordeaux.journal | Communications in Mathematical Physics | |
| bordeaux.page | 697-719 | |
| bordeaux.volume | 282 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00281459 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00281459v1 | |
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