dc.creator | Bodart, Olivier | es |
dc.creator | González Burgos, Manuel | es |
dc.creator | Pérez García, Rosario | es |
dc.date.accessioned | 2016-05-23T07:13:53Z | |
dc.date.available | 2016-05-23T07:13:53Z | |
dc.date.issued | 2004 | |
dc.identifier.citation | Bodart, O., González Burgos, M. y Pérez García, R. (2004). A local result on insensitizing controls for a semilinear heat equation with nonlinear boundary Fourier conditions. SIAM Journal on Control and Optimization, 43 (3), 955-969. | |
dc.identifier.issn | 0363-0129 | es |
dc.identifier.issn | 1095-7138 | es |
dc.identifier.uri | http://hdl.handle.net/11441/41470 | |
dc.description.abstract | In this paper we present a local result on the existence of insensitizing controls for a semilinear heat equation when nonlinear boundary conditions of the form ∂ny + f(y)=0 are considered. The problem leads to an analysis of a special type of nonlinear null controllability problem. A sharp study of the linear case and a later application of an appropriate fixed point argument constitute the scheme of the proof of the main result. The boundary conditions we are dealing with lead us to seek a fixed point, and thus also control functions, in certain H¨older spaces. The main strategy in this paper is the construction of controls with H¨olderian regularity starting from L2-controls in the linear case. Sufficient regularity in the data and appropriate assumptions on the right-hand side term ξ of the equation are required. | 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 | SIAM Journal on Control and Optimization, 43 (3), 955-969. | |
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 | nonlinear PDE of parabolic type | es |
dc.title | A local result on insensitizing controls for a semilinear heat equation with nonlinear boundary Fourier conditions | 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 | PB98–1134 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1137/S036301290343161X | |
dc.identifier.doi | 10.1137/S036301290343161X | |
idus.format.extent | 15 p. | es |
dc.journaltitle | SIAM Journal on Control and Optimization | es |
dc.publication.volumen | 43 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 955 | es |
dc.publication.endPage | 969 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/41470 | |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | |