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dc.contributor.authorColombini, F.
dc.contributor.authordel Santo, D.
dc.contributor.authorFanelli, F.
dc.contributor.authorMétivier, G.
dc.date.accessioned2017-02-21T08:18:18Z
dc.date.available2017-02-21T08:18:18Z
dc.date.issued2013-12-31
dc.identifier.issn0021-7824
dc.identifier.urihttp://hdl.handle.net/20.500.11824/539
dc.description.abstractIn 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.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectEnergy estimates
dc.subjectH∞ well-posedness
dc.subjectNon-Lipschitz coefficients
dc.subjectPrimary
dc.subjectSecondary
dc.subjectStrictly hyperbolic operators
dc.subjectZygmund regularity
dc.titleA well-posedness result for hyperbolic operators with Zygmund coefficients
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.matpur.2013.01.009
dc.relation.publisherversionhttps://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.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleJournal des Mathematiques Pures et Appliqueesen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España