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dc.contributor.authorCasas, E.
dc.contributor.authorZuazua, E.
dc.date.accessioned2017-02-21T08:18:19Z
dc.date.available2017-02-21T08:18:19Z
dc.date.issued2013-12-31
dc.identifier.issn0167-6911
dc.identifier.urihttp://hdl.handle.net/20.500.11824/565
dc.description.abstractWe analyze the use of measures of the minimal norm to control elliptic and parabolic equations. We prove the sparsity of the optimal control. In the parabolic case, we prove that the solution of the optimization problem is a Borel measure supported in a set of Lebesgue measure zero. In both cases, the approximate controllability can be achieved efficiently by means of controls that are activated in some finite number of pointwise locations. We also analyze the corresponding dual problem.
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.subjectApproximate controllability
dc.subjectBorel measures
dc.subjectElliptic equations
dc.subjectParabolic equations
dc.subjectSpike controls
dc.titleSpike controls for elliptic and parabolic PDEs
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.sysconle.2013.01.001
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84874096014&doi=10.1016%2fj.sysconle.2013.01.001&partnerID=40&md5=f6af72a8c202abddf537feedd571cd05
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleSystems and Control Lettersen_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