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Artículo
The dimension of attractors of nonautonomous partial differential equations
dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | Langa Rosado, José Antonio | |
dc.creator | Valero Cuadra, José | |
dc.date.accessioned | 2015-04-08T10:27:14Z | |
dc.date.available | 2015-04-08T10:27:14Z | |
dc.date.issued | 2003 | es |
dc.identifier.issn | 1446-1811 | es |
dc.identifier.uri | http://hdl.handle.net/11441/23721 | |
dc.description.abstract | The concept of nonautonomous (or cocycle) attractor has become a proper tool for the study of the asymptotic behaviour of general nonautonomous partial differential equations. This is a time-dependent family of compact sets, invariant for the associated process and attracting “from ¡1”: In general, the concept is rather different from the classical one of global attractor for autonomous dynamical systems. We prove a general result on the finite fractal dimensionality of each compact set of this family. In this way, we generalize previous results of Chepyzhov and Vishik in [6]. Our results are also applied to differential equations with a nonlinear term having polynomial growth at most. | |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | The Anziam Journal, 45 207-222 | es |
dc.rights | Atribución-NoComercial-SinDerivadas 4.0 España | es |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0 | es |
dc.subject | Attractors | |
dc.subject | Nonautonomous partial differential equations | en |
dc.title | The dimension of attractors of nonautonomous partial differential equations | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.identifier.doi | http://dx.doi.org/10.1017/S1446181100013274 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/23721 |
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