dc.contributor.author Colombini, F. dc.contributor.author del Santo, D. dc.contributor.author Fanelli, F. dc.contributor.author Métivier, G. dc.date.accessioned 2017-02-21T08:18:18Z dc.date.available 2017-02-21T08:18:18Z dc.date.issued 2013-12-31 dc.identifier.issn 0021-7824 dc.identifier.uri http://hdl.handle.net/20.500.11824/539 dc.description.abstract In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic operator with Zygmund continuous second order coefficients both in time and in space. In particular, this estimate implies the well-posedness for the related Cauchy problem. On the one hand, this result is quite surprising, because it allows to consider coefficients which are not Lipschitz continuous in time. On the other hand, it holds true only in the very special case of initial data in H1/2×H-1/2. Paradifferential calculus with parameters is the main ingredient to the proof. dc.format application/pdf dc.language.iso eng en_US dc.rights Reconocimiento-NoComercial-CompartirIgual 3.0 España en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.subject Energy estimates dc.subject H∞ well-posedness dc.subject Non-Lipschitz coefficients dc.subject Primary dc.subject Secondary dc.subject Strictly hyperbolic operators dc.subject Zygmund regularity dc.title A well-posedness result for hyperbolic operators with Zygmund coefficients dc.type info:eu-repo/semantics/article en_US dc.identifier.doi 10.1016/j.matpur.2013.01.009 dc.relation.publisherversion https://www.scopus.com/inward/record.uri?eid=2-s2.0-84884204397&doi=10.1016%2fj.matpur.2013.01.009&partnerID=40&md5=aeb1e2f59dca8d0d2376db160bfe39b4 dc.rights.accessRights info:eu-repo/semantics/openAccess en_US dc.type.hasVersion info:eu-repo/semantics/publishedVersion en_US dc.journal.title Journal des Mathematiques Pures et Appliquees en_US
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