dc.creator | Carvalho, Alexandre Nolasco | es |
dc.creator | Langa Rosado, José Antonio | es |
dc.creator | Robinson, James C. | es |
dc.date.accessioned | 2016-09-14T09:24:06Z | |
dc.date.available | 2016-09-14T09:24:06Z | |
dc.date.issued | 2010-12-15 | |
dc.identifier.citation | Carvalho, A.N., Langa Rosado, J.A. y Robinson, J.C. (2010). Finite-dimensional global attractors in Banach spaces. Journal of Differential Equations, 249 (12), 3099-3109. | |
dc.identifier.issn | 0022-0396 | es |
dc.identifier.uri | http://hdl.handle.net/11441/44982 | |
dc.description.abstract | We provide bounds on the upper box-counting dimension of negatively invariant subsets of Banach spaces, a problem that is easily reduced to covering the image of the unit ball under a linear map by a collection of balls of smaller radius. As an application of the abstract theory we show that the global attractors of a very broad class of parabolic partial differential equations (semilinear equations in Banach spaces) are finite-dimensional. | es |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico | es |
dc.description.sponsorship | Coordenação de aperfeiçoamento de pessoal de nivel superior | es |
dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Engineering and Physical Sciences Research Council | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Differential Equations, 249 (12), 3099-3109. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Global attractors | es |
dc.subject | Negatively invariant sets | es |
dc.subject | Box-counting dimension | es |
dc.subject | Banach–Mazur distance | es |
dc.subject | Auerbach basis | es |
dc.title | Finite-dimensional global attractors in Banach spaces | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | 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 | 302022/2008-2 | es |
dc.relation.projectID | 451761/2008-1 | es |
dc.relation.projectID | 267/2008 | es |
dc.relation.projectID | 2008/53094 | es |
dc.relation.projectID | 2008/55516-3 | es |
dc.relation.projectID | MTM2008-0088 | es |
dc.relation.projectID | P07-FQM-02468 | es |
dc.relation.projectID | FQM314 | es |
dc.relation.projectID | EP/G007470/1 | es |
dc.relation.publisherversion | http://ac.els-cdn.com/S0022039610003694/1-s2.0-S0022039610003694-main.pdf?_tid=f90c75f8-7a5b-11e6-b1e6-00000aacb35e&acdnat=1473844792_af3696e828c0b34620deef54d996e921 | es |
dc.identifier.doi | 10.1016/j.jde.2010.09.032 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
idus.format.extent | 17 p. | es |
dc.journaltitle | Journal of Differential Equations | es |
dc.publication.volumen | 249 | es |
dc.publication.issue | 12 | es |
dc.publication.initialPage | 3099 | es |
dc.publication.endPage | 3109 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/44982 | |