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

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dc.contributor.areaMathematicsen_US
dc.contributor.authorColombini, Ferruccio
dc.contributor.authorDel Santo, Daniele
dc.contributor.authorFanelli, Francesco
dc.contributor.authorMetivier, Guy
dc.contributor.departmentFunctional Analysis and Applicationsen_US
dc.date.accessioned2013-02-04T08:27:48Z
dc.date.available2013-02-04T08:27:48Z
dc.date.issued2013-02-04
dc.description.abstractIn this paper we will study the Cauchy problem for strictly hyperbolic operators with low regularity coe fficients in any space dimension N ≥ 1. We will suppose the coe fficients to be log-Zygmund continuous in time and log-Lipschitz continuous in space. Paradifferential 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.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/6437
dc.language.isoenen_US
dc.miur.area1en_US
dc.relation.ispartofseriespreprint;SISSA 05/2012/M
dc.subject.miurMAT/05 ANALISI MATEMATICA
dc.titleTime dependent loss of derivatives for hyperbolic operators with non-regular coefficientsen_US
dc.typePreprinten_US
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