The Cauchy Problem for Wave Equations with NonLipschitz Coefficients
| hal.structure.identifier | Dipartimento di Matematica | |
| dc.contributor.author | COLOMBINI, Ferruccio | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | METIVIER, Guy | |
| dc.date.accessioned | 2024-04-04T03:18:43Z | |
| dc.date.available | 2024-04-04T03:18:43Z | |
| dc.date.issued | 2008 | |
| dc.identifier.issn | 0012-9593 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194436 | |
| dc.description.abstractEn | In this paper we study the Cauchy problem for second order strictly hyperbolic operators when the coefficients of the principal part are not Lipschitz continuous, but only “Log-Lipschitz” with respect to all the variables. This class of equation is invariant under changes of variables and therefore suitable for a local analysis. In particular, we show local existence, local uniqueness and finite speed of propagation for the noncharacteristic Cauchy problem. | |
| dc.language.iso | en | |
| dc.publisher | Société mathématique de France | |
| dc.subject.en | Wave equations | |
| dc.subject.en | Well posedness | |
| dc.subject.en | Cauchy problem | |
| dc.subject.en | local existence and uniqueness | |
| dc.subject.en | nonsmooth coefficients | |
| dc.title.en | The Cauchy Problem for Wave Equations with NonLipschitz Coefficients | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | math.AP/0611426 | |
| bordeaux.journal | Annales Scientifiques de l'École Normale Supérieure | |
| bordeaux.page | pp 1--44 | |
| bordeaux.volume | 41 | |
| 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-00113698 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00113698v1 | |
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