Finite-dimensional global attractors in Banach spaces

Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio; Robinson, James C.

doi:10.1016/j.jde.2010.09.032

Artículo

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

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