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dc.contributor.authorBeauchard K.
dc.contributor.authorZuazua E.
dc.date.accessioned2017-02-21T08:18:17Z
dc.date.available2017-02-21T08:18:17Z
dc.date.issued2009-12-31
dc.identifier.issn0294-1449
dc.identifier.urihttp://hdl.handle.net/20.500.11824/510
dc.description.abstractIn this article, we prove the null controllability of the 2D Kolmogorov equation both in the whole space and in the square. The control is a source term in the right-hand side of the equation, located on a subdomain, that acts linearly on the state. In the first case, it is the complementary of a strip with axis x and in the second one, it is a strip with axis x. The proof relies on two ingredients. The first one is an explicit decay rate for the Fourier components of the solution in the free system. The second one is an explicit bound for the cost of the null controllability of the heat equation with potential that the Fourier components solve. This bound is derived by means of a new Carleman inequality. © 2009 Elsevier Masson SAS. All rights reserved.
dc.formatapplication/pdf
dc.languageeng
dc.publisherAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/
dc.subjectCarleman inequalities
dc.subjectControllability
dc.subjectKolmogorov equation
dc.titleSome controllability results for the 2D Kolmogorov equation
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1016/j.anihpc.2008.12.005
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-69949083524&doi=10.1016%2fj.anihpc.2008.12.005&partnerID=40&md5=b87f80814ab6a3705ceb5a98371824b5


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