Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/13589

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dc.contributor.authorMiranda, Fernando-
dc.contributor.authorSantos, Lisa-
dc.date.accessioned2011-09-15T15:56:56Z-
dc.date.available2011-09-15T15:56:56Z-
dc.date.issued2012-01-01-
dc.identifier.issn0022-247Xpor
dc.identifier.urihttp://hdl.handle.net/1822/13589-
dc.description.abstractWe consider a modified antenna's problem with power-type constitutive laws. This consists in a new nonlinear hyperbolic system that extends a Duvaut-Lions model. Using the Galerkin approximation, properties of the natural functional spaces, and exploring the $L^p$-$L^{p'}$ duality, we prove the existence of solutions, in a generalized sense, passing to the limit in a family of approximated problems and using measure-valued functions. In this process the difficulties in obtaining the necessary a priori estimates for the solutions of the finite-dimensional problems are overcome through the use of bases with special properties related to the model.por
dc.description.sponsorshipThe research of the authors was partially supported by the Research Centre of Mathematics of the University of Minho through the FCT Pluriannual Funding Program.por
dc.language.isoengpor
dc.publisherElsevierpor
dc.rightsopenAccesspor
dc.subjectHyperbolic systempor
dc.subjectMeasure-valued functionspor
dc.subjectDuality L(p)-L(p)'por
dc.subjectDuality L -L ' p ppor
dc.titleA nonlinear hyperbolic Maxwell system using measure-valued functionspor
dc.typearticlepor
dc.peerreviewedyespor
sdum.publicationstatuspublishedpor
oaire.citationStartPage491por
oaire.citationEndPage505por
oaire.citationIssue1por
oaire.citationTitleJournal of Mathematical Analysis and Applicationspor
oaire.citationVolume385por
dc.identifier.doi10.1016/j.jmaa.2011.06.071-
dc.subject.wosScience & Technologypor
sdum.journalJournal of Mathematical Analysis and Applicationspor
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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