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

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMETIVIER, Guy
hal.structure.identifierDipartimento di Matematica
dc.contributor.authorCOLOMBINI, Ferruccio
hal.structure.identifierUniversità degli studi di Trieste = University of Trieste
dc.contributor.authorDEL SANTO, Daniele
dc.contributor.authorFANELLI, Franscesco
dc.date.accessioned2024-04-04T02:21:29Z
dc.date.available2024-04-04T02:21:29Z
dc.date.issued2013
dc.identifier.issn0360-5302
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189578
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.publisherTaylor & Francis
dc.title.enTime dependent loss of derivatives for hyperbolic operators with non-regular coefficients
dc.typeArticle de revue
dc.identifier.doi10.1080/03605302.2013.795968
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.identifier.arxiv1305.1095
bordeaux.journalCommunications in Partial Differential Equations
bordeaux.pagepp 1791--1817
bordeaux.volume38
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00863514
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00863514v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Communications%20in%20Partial%20Differential%20Equations&rft.date=2013&rft.volume=38&rft.spage=pp%201791--1817&rft.epage=pp%201791--1817&rft.eissn=0360-5302&rft.issn=0360-5302&rft.au=METIVIER,%20Guy&COLOMBINI,%20Ferruccio&DEL%20SANTO,%20Daniele&FANELLI,%20Franscesco&rft.genre=article


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