Cauchy problem for hyperbolic operators with triple effective characteristics on the initial plane
| hal.structure.identifier | Department of Information and Computer Sciences [Toyonaka] | |
| dc.contributor.author | NISHITANI, Tatsuo | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PETKOV, Vesselin | |
| dc.date.accessioned | 2024-04-04T02:56:08Z | |
| dc.date.available | 2024-04-04T02:56:08Z | |
| dc.date.issued | 2020-07-13 | |
| dc.identifier.issn | 0030-6126 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192436 | |
| dc.description.abstractEn | We study effectively hyperbolic operators $P$ with triple characteristics points lying on $t= 0$. Under some conditions on the principal symbol of $P$ one proves that the Cauchy problem for $P$ in $[0, T] \times U$ is well posed for every choice of lower order terms. Our results improves those in \cite{NP} since we don't assume the condition (E) of \cite{NP} satisfied. | |
| dc.language.iso | en | |
| dc.publisher | Osaka University | |
| dc.subject.en | effectively hyperbolic operators | |
| dc.subject.en | triple characteristics | |
| dc.subject.en | energy estimates | |
| dc.title.en | Cauchy problem for hyperbolic operators with triple effective characteristics on the initial plane | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Osaka Journal of Mathematics | |
| bordeaux.page | 597-615 | |
| bordeaux.volume | 57 | |
| 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-02491341 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02491341v1 | |
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