dc.creator | Doubova Krasotchenko, Anna | es |
dc.creator | Fernández Cara, Enrique | es |
dc.creator | González Burgos, Manuel | es |
dc.creator | Zuazua Iriondo, Enrique | es |
dc.date.accessioned | 2016-05-13T11:31:41Z | |
dc.date.available | 2016-05-13T11:31:41Z | |
dc.date.issued | 2002 | |
dc.identifier.citation | Doubova Krasotchenko, A., Fernández Cara, E., González Burgos, M. y Zuazua Iriondo, E. (2002). On the controllability of parabolic systems with a nonlinear term involving the state and the gradient. | |
dc.identifier.issn | 0363-0129 | es |
dc.identifier.issn | 1095-7138 | es |
dc.identifier.uri | http://hdl.handle.net/11441/41189 | |
dc.description.abstract | We present some results concerning the controllability of a quasi-linear parabolic equation (with linear principal part) in a bounded domain of RN with Dirichlet boundary conditions. We analyze the controllability problem with distributed controls (supported on a small open subset) and boundary controls (supported on a small part of the boundary). We prove that the system is null and approximately controllable at any time if the nonlinear term f(y, ∇y) grows slower than |y| log3/2(1+ |y|+ |∇y|)+ |∇y| log1/2(1+ |y|+ |∇y|) at infinity (generally, in this case, in the absence of control, blow-up occurs). The proofs use global Carleman estimates, parabolic regularity, and the fixed point method. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Society for Industrial and Applied Mathematics | es |
dc.relation.ispartof | null | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Controllability | es |
dc.subject | Parabolic equations | es |
dc.subject | Nonlinear gradient terms | es |
dc.title | On the controllability of parabolic systems with a nonlinear term involving the state and the gradient | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.projectID | PB96-0663 | es |
dc.relation.projectID | PB98-1134 | es |
dc.relation.projectID | BFM2000-1317 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1137/S0363012901386465 | |
dc.identifier.doi | 10.1137/S0363012901386465 | |
idus.format.extent | 22 p. | es |
dc.publication.volumen | 41 | |
dc.publication.issue | 2 | |
dc.publication.initialPage | 798 | |
dc.publication.endPage | 819 | |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/41189 | |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | |