Pullback Attractors for a Semilinear Heat Equation In a Non-Cylindrical Domain

Kloeden, Peter E.; Marín Rubio, Pedro; Real Anguas, José

doi:10.1016/j.jde.2007.10.031

Artículo

dc.creator	Kloeden, Peter E.
dc.creator	Marín Rubio, Pedro
dc.creator	Real Anguas, José
dc.date.accessioned	2015-06-23T13:55:08Z
dc.date.available	2015-06-23T13:55:08Z
dc.date.issued	2008
dc.identifier.issn	0022-0396
dc.identifier.uri	http://hdl.handle.net/11441/25941
dc.description.abstract	The existence and uniqueness of a variational solution satisfying energy equality is proved for a semilinear heat equation in a non-cylindrical domain with homogeneous Dirichlet boundary condition, under the assumption that the spatial domains are bounded and increase with time. In addition, the non-autonomous dynamical system generated by this class of solutions is shown to have a global pullback attractor.
dc.format	application/pdf
dc.language.iso	eng
dc.publisher	Elsevier
dc.relation.ispartof	Journal of Differential Equations, 244(8), 2062-2090
dc.rights	Atribución-NoComercial-SinDerivadas 4.0 España
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0
dc.subject	Semilinear heat equations
dc.subject	Non-cylindrical domains
dc.subject	Non-autonomous dynamical system
dc.subject	Pullback attractor
dc.title	Pullback Attractors for a Semilinear Heat Equation In a Non-Cylindrical Domain
dc.type	info:eu-repo/semantics/article
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/submittedVersion
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
dc.relation.publisherversion	http://dx.doi.org/10.1016/j.jde.2007.10.031
dc.identifier.doi	10.1016/j.jde.2007.10.031	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/25941

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