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dc.creatorAmmar-Khodja, Farides
dc.creatorBenabdallah, Assiaes
dc.creatorGonzález Burgos, Manueles
dc.creatorTeresa de Oteyza, María de la Luz dees
dc.date.accessioned2016-09-28T06:18:35Z
dc.date.available2016-09-28T06:18:35Z
dc.date.issued2014-10-01
dc.identifier.citationAmmar-Khodja, F., Benabdallah, A., González Burgos, M. y Teresa de Oteyza, M.d.l.L.d. (2014). Minimal time for the null controllability of parabolic systems: the effect of the condensation index of complex sequences. Journal of Functional Analysis, 267 (1), 2077-2151.
dc.identifier.issn0022-1236es
dc.identifier.urihttp://hdl.handle.net/11441/46189
dc.description.abstractLet (A, D(A)) a diagonalizable generator of a C0−semigroup of contractions on a complex Hilbert space X, B2L(C, Y ), Y being some suitable extrapolation space of X, and u 2 L2 (0, T; C). Under some assumptions on the sequence of eigenvalues Λ = {λk}k≥1 ⇢ C of (A, D(A)), we prove the existence of a minimal time T0 2 [0, 1] depending on Bernstein’s condensation index of Λ and on B such that y 0 = Ay+Bu is null-controllable at any time T >T0 and not null-controllable for T <T0. As a consequence, we solve controllability problems of various systems of coupled parabolic equations. In particular, new results on the boundary controllability of one-dimensional parabolic systems are derived. These seem to be difficult to achieve using other classical tools.es
dc.description.sponsorshipMinisterio de Ciencia e Innovaciónes
dc.description.sponsorshipPrograma de Apoyo a Proyectos de Investigación e Innovación Tecnológica (Universidad Nacional Autónoma de México)es
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherElsevieres
dc.relation.ispartofJournal of Functional Analysis, 267 (1), 2077-2151.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectNull controllabilityes
dc.subjectParabolic systemses
dc.subjectMinimal timees
dc.subjectCondensation index of complex sequenceses
dc.titleMinimal time for the null controllability of parabolic systems: the effect of the condensation index of complex sequenceses
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numéricoes
dc.relation.projectIDMTM2010-15592es
dc.relation.projectIDIN108211es
dc.relation.publisherversionhttp://ac.els-cdn.com/S0022123614003097/1-s2.0-S0022123614003097-main.pdf?_tid=c516e0ac-8542-11e6-83ec-00000aacb35d&acdnat=1475043430_4c7df250eec5694b4c07257377b20989es
dc.identifier.doi10.1016/j.jfa.2014.07.024es
dc.contributor.groupUniversidad de Sevilla. FQM131: Ec. diferenciales, Simulación Num.y Desarrollo Softwarees
idus.format.extent62 p.es
dc.journaltitleJournal of Functional Analysises
dc.publication.volumen267es
dc.publication.issue1es
dc.publication.initialPage2077es
dc.publication.endPage2151es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/46189
dc.contributor.funderMinisterio de Ciencia e Innovación (MICIN). España
dc.contributor.funderUniversidad Autónoma de México (UNAM)

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