dc.creator | Anguiano Moreno, María | es |
dc.date.accessioned | 2016-07-21T09:35:53Z | |
dc.date.available | 2016-07-21T09:35:53Z | |
dc.date.issued | 2010 | |
dc.identifier.citation | Anguiano Moreno, M. (2010). Pullback attractor for a non-autonomous reaction-diffusion equation in some unbounded domains. Boletín de la Sociedad Española de Matemática Aplicada, 51, 9-16. | |
dc.identifier.issn | 1575-9822 | es |
dc.identifier.uri | http://hdl.handle.net/11441/43841 | |
dc.description.abstract | The existence of a pullback attractor in L2(Ω) for the following nonautonomous reaction-di usion equation
∂u
∂t − △u = f(u) + h(t), in Ω × (τ, +∞),
u = 0, on ∂Ω × (τ, +∞),
u(x, τ ) = uτ (x), x ∈ Ω,
is proved in this paper, when the domain Ω is not necessarily bounded but
satisfying the Poincaré inequality, and h ∈ L2 loc(R; H−1(Ω)). The main concept used in the proof is the asymptotic compactness of the process
generated by the problem. | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Sociedad Española de Matemática Aplicada | es |
dc.relation.ispartof | Boletín de la Sociedad Española de Matemática Aplicada, 51, 9-16. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Pullback attractor | es |
dc.subject | Asymptotic compactness | es |
dc.subject | Evolution process | es |
dc.subject | Non-autonomous reaction-diffusion equation | es |
dc.title | Pullback attractor for a non-autonomous reaction-diffusion equation in some unbounded domains | 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 | P07-FQM-02468 | es |
idus.format.extent | 8 p. | es |
dc.journaltitle | Boletín de la Sociedad Española de Matemática Aplicada | es |
dc.publication.volumen | 51 | es |
dc.publication.initialPage | 9 | es |
dc.publication.endPage | 16 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/43841 | |
dc.contributor.funder | Junta de Andalucía | |