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dc.contributor.authorZhang, X.
dc.contributor.authorZheng, C.
dc.contributor.authorZuazua, E.
dc.date.accessioned2017-02-21T08:18:17Z
dc.date.available2017-02-21T08:18:17Z
dc.date.issued2010-12-31
dc.identifier.issn1871-3033
dc.identifier.urihttp://hdl.handle.net/20.500.11824/496
dc.description.abstractIn this paper we summarize our recent results on the exact boundary controllability of a trapezoidal time discrete wave equation in a bounded domain. It is shown that the projection of the solution in an appropriate space in which the high frequencies have been filtered is exactly controllable with uniformly bounded controls (with respect to the time-step). By classical duality arguments, the problem is reduced to a boundary observability inequality for a time-discrete wave equation. Using multiplier techniques the uniform observability property is proved in a class of filtered initial data. The optimality of the filtering parameter is also analyzed.
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.subjectExact controllability
dc.subjectfiltering.
dc.subjectmultiplier technique
dc.subjectobservability
dc.subjecttime discretization
dc.subjectwave equation
dc.titleExact Controllability of the Time Discrete Wave Equation: A Multiplier Approach
dc.typeinfo:eu-repo/semantics/bookParten_US
dc.identifier.doi10.1007/978-90-481-3239-3_17
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84963541516&doi=10.1007%2f978-90-481-3239-3_17&partnerID=40&md5=f7b33742bf989f0efa21ee449737c5fe
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleComputational Methods in Applied Sciencesen_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