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dc.contributor.authorBeli, N.
dc.contributor.authorIgnat, L.I.
dc.contributor.authorZuazua, E.
dc.date.accessioned2016-06-13T13:33:51Z
dc.date.available2016-06-13T13:33:51Z
dc.date.issued2016-01-01
dc.identifier.issn0294-1449
dc.identifier.urihttp://hdl.handle.net/20.500.11824/265
dc.description.abstractIn this paper we analyze the dispersion for one dimensional wave and Schrödinger equations with BV coefficients. In the case of the wave equation we give a complete answer in terms of the variation of the logarithm of the coefficient showing that dispersion occurs if this variation is small enough but it may fail when the variation goes beyond a sharp threshold. For the Schrödinger equation we prove that the dispersion holds under the same smallness assumption on the variation of the coefficient. But, whether dispersion may fail for larger coefficients is unknown for the Schrödinger equation.
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.subjectSchrödinger equation
dc.subjectWave equation
dc.subjectOne space dimension
dc.subjectBV coefficients
dc.subjectDispersion and Strichartz estimates
dc.subjectAlmost periodic functions
dc.titleDispersion for 1-d Schrödinger and wave equations with bv coefficients
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.anihpc.2015.06.002
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S029414491500061X
dc.relation.projectIDES/6PN/MTM2011-29306-C02-01en_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/246775en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/submittedVersionen_US
dc.journal.titleAnnales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysisen_US


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