Wave Propagation and Scattering for the RS2 Brane Cosmology Model
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BACHELOT, Alain | |
| dc.date.accessioned | 2024-04-04T02:33:27Z | |
| dc.date.available | 2024-04-04T02:33:27Z | |
| dc.date.created | 2009-09-15 | |
| dc.date.issued | 2009 | |
| dc.identifier.issn | 0219-8916 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190479 | |
| dc.description.abstractEn | We study the wave equation for the gravitational waves in the Randal-Sundrum brane cosmology model. We solve the global Cauchy problem and we establish that the solutions are the sum of a slowly decaying massless wave localized near the brane, and a superposition of massive dispersive waves. We compute the kernel of the truncated resolvent. We prove some $L^1-L^{\infty}$, $L^2-L^{\infty}$ decay estimates and global $L^p$ Strichartz type inequalities. We develop the complete scattering theory : existence and asymptotic completeness of the wave operators, computation of the scattering matrix, determination of the resonances on the logarithmic Riemann surface. | |
| dc.language.iso | en | |
| dc.publisher | World Scientific Publishing | |
| dc.title.en | Wave Propagation and Scattering for the RS2 Brane Cosmology Model | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.subject.hal | Physique [physics]/Physique mathématique [math-ph] | |
| dc.identifier.arxiv | 0812.4197 | |
| bordeaux.journal | Journal of Hyperbolic Differential Equations | |
| bordeaux.page | 809-861 | |
| bordeaux.volume | 6 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 4 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00418510 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00418510v1 | |
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