Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities

Caraballo Garrido, Tomás; Morillas, F.; Valero, J.

doi:10.1016/j.jde.2012.03.020

Artículo

dc.creator	Caraballo Garrido, Tomás	es
dc.creator	Morillas, F.	es
dc.creator	Valero, J.	es
dc.date.accessioned	2022-11-03T12:08:26Z
dc.date.available	2022-11-03T12:08:26Z
dc.date.issued	2012-04-16
dc.identifier.citation	Caraballo Garrido, T., Morillas, F. y Valero, J. (2012). Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities. Journal of Differential Equations, 253 (2), 667-693. https://doi.org/10.1016/j.jde.2012.03.020.
dc.identifier.issn	0022-0396	es
dc.identifier.issn	1090-2732	es
dc.identifier.uri	https://hdl.handle.net/11441/138663
dc.description.abstract	In this paper we study the asymptotic behavior of solutions of a first-order stochastic lattice dynamical system with a multiplicative noise. We do not assume any Lipschitz condition on the nonlinear term, just a continuity assumption together with growth and dissipative conditions, so that uniqueness of the Cauchy problem fails to be true. Using the theory of multi-valued random dynamical systems we prove the existence of a random compact global attractor	es
dc.format	application/pdf	es
dc.format.extent	26 p.	es
dc.language.iso	eng	es
dc.publisher	Elsevier	es
dc.relation.ispartof	Journal of Differential Equations, 253 (2), 667-693.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Stochastic lattice differential equations	es
dc.subject	Random attractors	es
dc.subject	Multiplicative noise	es
dc.subject	Set-valued dynamical system	es
dc.title	Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities	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.publisherversion	http://dx.doi.org/10.1016/j.jde.2012.03.020	es
dc.identifier.doi	10.1016/j.jde.2012.03.020	es
dc.contributor.group	Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales	es
dc.journaltitle	Journal of Differential Equations	es
dc.publication.volumen	253	es
dc.publication.issue	2	es
dc.publication.initialPage	667	es
dc.publication.endPage	693	es

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