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dc.creatorCaraballo Garrido, Tomás es
dc.creatorChueshov, Igor D. 
dc.creatorReal Anguas, José 
dc.date.accessioned2015-04-08T10:27:13Z
dc.date.available2015-04-08T10:27:13Z
dc.date.issued2008es
dc.identifier.issn1531-3492es
dc.identifier.urihttp://hdl.handle.net/11441/23705
dc.description.abstractWe 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.formatapplication/pdfes
dc.language.isoenges
dc.relation.ispartofDiscrete and Continuous Dynamical Systems. Series B, 9(3-4), 525-539es
dc.rightsAtribución-NoComercial-SinDerivadas 4.0 Españaes
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0es
dc.subjectRandom pullback attractor
dc.subjectOrnstein-Uhlenbeck process
dc.subjectasymptotic compactness
dc.subjectstochastic heat equation with memory
dc.titlePullback Attractors for Stochastic Heat Equations in Materials with Memoryes
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numéricoes
dc.identifier.doihttp://dx.doi.org/10.3934/dcdsb.2008.9.525es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/23705

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