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dc.contributor.authorBiccari, U.
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.issn0022-0396
dc.identifier.urihttp://hdl.handle.net/20.500.11824/263
dc.description.abstractThis article is devoted to the analysis of control properties for a heat equation with a singular potential μ/δ2, defined on a bounded C2 domain Ω⊂RN, where δ is the distance to the boundary function. More precisely, we show that for any μ≤1/4 the system is exactly null controllable using a distributed control located in any open subset of Ω, while for μ>1/4 there is no way of preventing the solutions of the equation from blowing-up. The result is obtained applying a new Carleman estimate.
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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.titleNull controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.jde.2016.05.019
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0022039616300985
dc.relation.projectIDES/1PE/SEV-2013-0323en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/submittedVersionen_US
dc.journal.titleJournal of Differential Equationsen_US


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