Cauchy problem for effectiively hyperbolic operators with triple characteristics
| dc.contributor.author | ENRICO, Bernardi | |
| dc.contributor.author | BOVE, Antonio | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PETKOV, Vesselin | |
| dc.date.accessioned | 2024-04-04T02:19:33Z | |
| dc.date.available | 2024-04-04T02:19:33Z | |
| dc.date.created | 2013 | |
| dc.date.issued | 2014 | |
| dc.identifier.issn | 0764-4442 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189415 | |
| dc.description.abstractEn | We study a class of third-order effectively hyperbolic operators P in G = { x \in U, 0 \leq t \leq T} with triple characteristics at ρ = (0, x_0, ξ), ξ ∈ R^n \ {0}. V. Ivrii introduced the conjecture that every effectively hyperbolic operator is strongly hyperbolic, that is the Cauchy problem for P + Q is locally well posed for any lower-order terms Q . For operators with triple characteristics, this conjecture was established by Ivrii in the case when the principal symbol of P admits a factorization as a product of two symbols of principal type. A strongly hyperbolic operator in G could have triple characteristics in G only for t = 0 or for t = T . The operators that we investigate have a principal symbol which in general is not factorizable and we prove that these operators are strongly hyperbolic if T is small enough. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.title.en | Cauchy problem for effectiively hyperbolic operators with triple characteristics | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Comptes rendus de l'Académie des sciences. Série I, Mathématique | |
| bordeaux.page | 109-112 | |
| bordeaux.volume | 352 | |
| 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-00947209 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00947209v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Comptes%20rendus%20de%20l'Acad%C3%A9mie%20des%20sciences.%20S%C3%A9rie%20I,%20Math%C3%A9matique&rft.date=2014&rft.volume=352&rft.spage=109-112&rft.epage=109-112&rft.eissn=0764-4442&rft.issn=0764-4442&rft.au=ENRICO,%20Bernardi&BOVE,%20Antonio&PETKOV,%20Vesselin&rft.genre=article |
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