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Artículo
Pullback Attractors for Stochastic Heat Equations in Materials with Memory
dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | Chueshov, Igor D. | |
dc.creator | Real Anguas, José | |
dc.date.accessioned | 2015-04-08T10:27:13Z | |
dc.date.available | 2015-04-08T10:27:13Z | |
dc.date.issued | 2008 | es |
dc.identifier.issn | 1531-3492 | es |
dc.identifier.uri | http://hdl.handle.net/11441/23705 | |
dc.description.abstract | We study the asymptotic behaviour of a non-autonomous stochastic reaction-diffusion equation with memory. In fact, we prove the existence of a random pullback attractor for our stochastic parabolic PDE with memory. The randomness enters in our model as an additive Hilbert valued noise. We first prove that the equation generates a random dynamical system (RDS) in an appropriate phase space. Due to the fact that the memory term takes into account the whole past history of the phenomenon, we are not able to prove compactness of the generated RDS, but its asymptotic compactness, ensuring thus the existence of the random pullback attractor. | |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Discrete and Continuous Dynamical Systems. Series B, 9(3-4), 525-539 | 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 | Random pullback attractor | |
dc.subject | Ornstein-Uhlenbeck process | |
dc.subject | asymptotic compactness | |
dc.subject | stochastic heat equation with memory | |
dc.title | Pullback Attractors for Stochastic Heat Equations in Materials with Memory | 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/10.3934/dcdsb.2008.9.525 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/23705 |
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