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dc.creatorFernández Cara, Enriquees
dc.date.accessioned2016-10-14T06:28:35Z
dc.date.available2016-10-14T06:28:35Z
dc.date.issued1997-04
dc.identifier.citationFernández Cara, E. (1997). Null controllability of the semilinear heat equation. ESAIM: Control, Optimisation and Calculus of Variations, 2, 87-103.
dc.identifier.issn1292-8119es
dc.identifier.issn1262-3377es
dc.identifier.urihttp://hdl.handle.net/11441/47461
dc.description.abstractThis paper is concerned with the null controllability of systems governed by semilinear parabolic equations. The control is exerted either on a small subdomain or on a portion of the boundary. We prove that the system is null controllable when the nonlinear term f(s) grows slower than s . log|s| as |s| → ∞.es
dc.description.abstractCe papier est consacré à l'étude de la contrôlabilité nulle des systèmes gouvernés par des équations aux dérivées partielles paraboliques semilinéaires. Le contrôle est localisé dans un (petit) sous-domaine ou sur une (petite) partie de la frontière. Les résultats principaux montrent que le système est exactement contrôlable à zéro si le terme non linéaire f(s) croît plus lentement que s . log|s| quand |s| tend vers l'infini.es
dc.description.sponsorshipDirección General de Investigación Científica y Técnicaes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherEDP Scienceses
dc.relation.ispartofESAIM: Control, Optimisation and Calculus of Variations, 2, 87-103.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectNull controllabilityes
dc.subjectSemilinear parabolic partial differential equationses
dc.subjectFixed-point methodes
dc.titleNull controllability of the semilinear heat equationes
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numéricoes
dc.relation.projectIDPB95-1242es
dc.relation.publisherversionhttp://www.esaim-cocv.org/articles/cocv/pdf/1997/01/cocv-Vol2.5.pdfes
dc.contributor.groupUniversidad de Sevilla. FQM131: Ec.diferenciales, Simulación Num.y Desarrollo Softwarees
idus.format.extent17 p.es
dc.journaltitleESAIM: Control, Optimisation and Calculus of Variationses
dc.publication.volumen2es
dc.publication.initialPage87es
dc.publication.endPage103es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/47461
dc.contributor.funderDirección General de Investigación Científica y Técnica (DGICYT). España

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