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Stochastic lattice dynamical systems with fractional noise

dc.creatorBessaih, Hakimaes
dc.creatorGarrido Atienza, María Josées
dc.creatorHan, Xiaoyinges
dc.creatorSchmalfuss, Björnes
dc.date.accessioned2017-05-02T10:12:45Z
dc.date.available2017-05-02T10:12:45Z
dc.date.issued2017
dc.identifier.citationBessaih, H., Garrido Atienza, M.J., Han, X. y Schmalfuss, B. (2017). Stochastic lattice dynamical systems with fractional noise. SIAM Journal on Mathematical Analysis, 49 (2), 1495-1518.
dc.identifier.issn0036-1410es
dc.identifier.urihttp://hdl.handle.net/11441/59056
dc.description.abstractThis article studies stochastic lattice dynamical systems driven by a fractional Brownian motion with Hurst parameter H ∈ (1/2, 1). First of all, we investigate the existence and uniqueness of pathwise mild solutions to such systems by the Young integration setting and prove that the solution generates a random dynamical system. Further, we analyze the exponential stability of the trivial solution.es
dc.description.sponsorshipNational Science Foundationes
dc.description.sponsorshipMinisterio de Economía y Competitividades
dc.description.sponsorshipFondo Europeo de Desarrollo Regional
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherSociety for Industrial and Applied Mathematicses
dc.relation.ispartofSIAM Journal on Mathematical Analysis, 49 (2), 1495-1518.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectStochastic lattice equationses
dc.subjectHilbert-valued fractional Brownian motiones
dc.subjectPathwise solutionses
dc.subjectExponential stabilityes
dc.titleStochastic lattice dynamical systems with fractional noisees
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numéricoes
dc.relation.projectIDDMS-1418838es
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/MTM2015-63723-Pes
dc.relation.publisherversionhttp://epubs.siam.org/doi/pdf/10.1137/16M1085504es
dc.identifier.doi10.1137/16M1085504es
dc.contributor.groupUniversidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferencialeses
idus.format.extent24 p.es
dc.journaltitleSIAM Journal on Mathematical Analysises
dc.publication.volumen49es
dc.publication.issue2es
dc.publication.initialPage1495es
dc.publication.endPage1518es
dc.contributor.funderNational Science Foundation (NSF). United States
dc.contributor.funderMinisterio de Economía y Competitividad (MINECO). España

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