Stability and random attractors for a reaction-diffusion equation with multiplicative noise

dc.creator	Caraballo Garrido, Tomás	es
dc.creator	Langa Rosado, José Antonio
dc.creator	Robinson, James C.
dc.date.accessioned	2015-04-08T10:27:13Z
dc.date.available	2015-04-08T10:27:13Z
dc.date.issued	2000	es
dc.identifier.issn	1078-0947	es
dc.identifier.uri	http://hdl.handle.net/11441/23712
dc.description.abstract	We study the asymptotic behaviour of a reaction-diffusion equation, and prove that the addition of multiplicative white noise (in the sense of Itˆo) stabilizes the stationary solution x 0. We show in addition that this stochastic equation has a finite-dimensional random attractor, and from our results conjecture a possible bifurcation scenario.
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.relation.ispartof	Discrete and Continuous Dynamical Systems, 6(4), 875-892	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 attractors
dc.subject	Hausdorff dimension
dc.subject	stochastic stabilization
dc.subject	Chafee-Infante equation
dc.title	Stability and random attractors for a reaction-diffusion equation with multiplicative noise	es
dc.type	info:eu-repo/semantics/article	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.identifier.doi	http://dx.doi.org/10.3934/dcds.2000.6.875	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/23712

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