Time dependent loss of derivatives for hyperbolic operators with non-regular coefficients
hal.structure.identifier | Dipartimento di Matematica [Pisa] | |
dc.contributor.author | COLOMBINI, Ferruccio | |
hal.structure.identifier | Università degli studi di Trieste = University of Trieste | |
dc.contributor.author | DEL SANTO, Daniele | |
hal.structure.identifier | Laboratoire d'Analyse et de Mathématiques Appliquées [LAMA] | |
dc.contributor.author | FANELLI, Francesco | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | METIVIER, Guy | |
dc.date.accessioned | 2024-04-04T02:24:36Z | |
dc.date.available | 2024-04-04T02:24:36Z | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189828 | |
dc.description.abstractEn | In this paper we will study the Cauchy problem for strictly hyperbolic operators with low regularity coe cients in any space dimension N>=1. We will suppose the coe cients to be log-Zygmund continuous in time and log-Lipschitz continuous in space. Paradi erential calculus with parameters will be the main tool to get energy estimates in Sobolev spaces and these estimates will present a time-dependent loss of derivatives. | |
dc.language.iso | en | |
dc.title.en | Time dependent loss of derivatives for hyperbolic operators with non-regular coefficients | |
dc.type | Document de travail - Pré-publication | |
dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
dc.description.sponsorshipEurope | New analytical and numerical methods in wave propagation | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
hal.identifier | hal-00733563 | |
hal.version | 1 | |
hal.audience | Non spécifiée | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00733563v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=COLOMBINI,%20Ferruccio&DEL%20SANTO,%20Daniele&FANELLI,%20Francesco&METIVIER,%20Guy&rft.genre=preprint |
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