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Time dependent loss of derivatives for hyperbolic operators with non-regular coefficients

hal.structure.identifierDipartimento di Matematica [Pisa]
dc.contributor.authorCOLOMBINI, Ferruccio
hal.structure.identifierUniversità degli studi di Trieste = University of Trieste
dc.contributor.authorDEL SANTO, Daniele
hal.structure.identifierLaboratoire d'Analyse et de Mathématiques Appliquées [LAMA]
dc.contributor.authorFANELLI, Francesco
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMETIVIER, Guy
dc.date.accessioned2024-04-04T02:24:36Z
dc.date.available2024-04-04T02:24:36Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189828
dc.description.abstractEnIn 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.isoen
dc.title.enTime dependent loss of derivatives for hyperbolic operators with non-regular coefficients
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.description.sponsorshipEuropeNew analytical and numerical methods in wave propagation
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-00733563
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00733563v1
bordeaux.COinSctx_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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