dc.creator | Benabdallah, Assia | es |
dc.creator | Boyer, Franck | es |
dc.creator | González Burgos, Manuel | es |
dc.creator | Olive, Guillaume | es |
dc.date.accessioned | 2016-05-20T11:47:20Z | |
dc.date.available | 2016-05-20T11:47:20Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Benabdallah, A., Boyer, F., González Burgos, M. y Olive, G. (2014). Sharp estimates of the one-dimensional boundary control cost for parabolic systems and application to the N-dimensional boundary null controllability in cylindrical domains. SIAM Journal on Control and Optimization, 52 (5), 2970-3001. | |
dc.identifier.issn | 0363-0129 | es |
dc.identifier.issn | 1095-7138 | es |
dc.identifier.uri | http://hdl.handle.net/11441/41457 | |
dc.description.abstract | In this paper we consider the boundary null controllability of a system of n parabolic equations on domains of the form Ω = (0, π) × Ω2 with Ω2 a smooth domain of RN−1, N > 1. When the control is exerted on {0} × ω2 with ω2 ⊂ Ω2, we obtain a necessary and sufficient condition that completely characterizes the null controllability. This result is obtained through the Lebeau-Robbiano strategy and requires an upper bound of the cost of the one-dimensional boundary null control on (0, π). The latter is obtained using the moment method and it is shown to be bounded by CeC/T when T goes to 0+. | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Society for Industrial and Applied Mathematics | es |
dc.relation.ispartof | SIAM Journal on Control and Optimization, 52 (5), 2970-3001. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | parabolic systems | es |
dc.subject | boundary controllability | es |
dc.subject | biorthogonal families | es |
dc.subject | Kalman rank condition | es |
dc.title | Sharp estimates of the one-dimensional boundary control cost for parabolic systems and application to the N-dimensional boundary null controllability in cylindrical domains | 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 | MTM2010-15592 | es |
dc.identifier.doi | http://dx.doi.org/10.1137/130929680 | es |
idus.format.extent | 32 p. | es |
dc.journaltitle | SIAM Journal on Control and Optimization | es |
dc.publication.volumen | 52 | es |
dc.publication.issue | 5 | es |
dc.publication.initialPage | 2970 | es |
dc.publication.endPage | 3001 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/41457 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación (MICIN). España | |