Long-time existence for semi-linear Klein-Gordon equations with small Cauchy data on Zoll manifolds
| hal.structure.identifier | Laboratoire Analyse, Géométrie et Applications [LAGA] | |
| dc.contributor.author | DELORT, Jean-Marc | |
| hal.structure.identifier | Laboratoire de Mathématiques Appliquées de Bordeaux [MAB] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | SZEFTEL, Jérémie | |
| dc.date.accessioned | 2024-04-04T02:42:02Z | |
| dc.date.available | 2024-04-04T02:42:02Z | |
| dc.date.issued | 2006 | |
| dc.identifier.issn | 0002-9327 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191207 | |
| dc.description.abstractEn | We prove a long time existence result for semi-linear Klein-Gordon equations with small Cauchy data on Zoll manifolds. This generalizes a preceding result concerning the case of spheres, obtained in [9]. The proof relies on almost orthogonality properties of products of eigenfunctions of positive elliptic selfadjoint operators on a compact manifold and on the specific distribution of eigenvalues of the laplacian perturbed by a potential on Zoll manifolds. | |
| dc.language.iso | en | |
| dc.publisher | Johns Hopkins University Press | |
| dc.title.en | Long-time existence for semi-linear Klein-Gordon equations with small Cauchy data on Zoll manifolds | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | American Journal of Mathematics | |
| bordeaux.page | 1187-1218 | |
| bordeaux.volume | 128 | |
| 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-00359308 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00359308v1 | |
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