dc.creator | Hu, Wenjie | es |
dc.creator | Caraballo Garrido, Tomás | es |
dc.date.accessioned | 2023-11-06T11:04:40Z | |
dc.date.available | 2023-11-06T11:04:40Z | |
dc.date.issued | 2023-06-12 | |
dc.identifier.citation | Hu, W. y Caraballo Garrido, T. (2023). Invariant manifolds for stochastic delayed partial differential equations of parabolic type. Chaos, Solitons & Fractals, 176 (noviembre), 114189-1. https://doi.org/10.1016/j.chaos.2023.114189. | |
dc.identifier.issn | 0960-0779 | es |
dc.identifier.issn | 1873-2887 | es |
dc.identifier.uri | https://hdl.handle.net/11441/150170 | |
dc.description.abstract | The aim of this paper is to prove the existence and smoothness of stable and unstable
invariant manifolds for a stochastic delayed partial differential equation of parabolic type.
The stochastic delayed partial differential equation is firstly transformed into a random
delayed partial differential equation by a conjugation, which is then recast into a Hilbert
space. For the auxiliary equation, the variation of constants formula holds and we show the
existence of Lipschitz continuous stable and unstable manifolds by the Lyapunov-Perron
method. Subsequently, we prove the smoothness of these invariant manifolds under appropriate spectral gap condition by carefully investigating the smoothness of auxiliary equation,
after which, we obtain the invariant manifolds of the original equation by projection and
inverse transformation. Eventually, we illustrate the obtained theoretical results by their
application to a stochastic single-species population model. | es |
dc.format | application/pdf | es |
dc.format.extent | 23 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Chaos, Solitons & Fractals, 176 (noviembre), 114189-1. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Invariant manifolds | es |
dc.subject | stochastic partial differential equations | es |
dc.subject | delay | es |
dc.subject | random dynamical systems | es |
dc.subject | Lyapunov-Perron’s method | es |
dc.subject | smoothness | es |
dc.title | Invariant manifolds for stochastic delayed partial differential equations of parabolic type | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | 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 | https://doi.org/10.1016/j.chaos.2023.114189 | es |
dc.identifier.doi | 10.1016/j.chaos.2023.114189 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
dc.journaltitle | Chaos, Solitons & Fractals | es |
dc.publication.volumen | 176 | es |
dc.publication.issue | noviembre | es |
dc.publication.initialPage | 114189-1 | es |