dc.creator | Gao, Hongjun | es |
dc.creator | Garrido Atienza, María José | es |
dc.creator | Schmalfuss, Björn | es |
dc.date.accessioned | 2016-06-13T12:11:29Z | |
dc.date.available | 2016-06-13T12:11:29Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Gao, H., Garrido Atienza, M.J. y Schmalfuss, B. (2014). Random attractors for stochastic evolution equations driven by fractional brownian motion. SIAM Journal on Mathematical Analysis, 46 (4), 2281-2309. | |
dc.identifier.issn | 0036-1410 | es |
dc.identifier.issn | 1095-7154 | es |
dc.identifier.uri | http://hdl.handle.net/11441/42198 | |
dc.description.abstract | The main goal of this article is to prove the existence of a random attractor for a stochastic evolution equation driven by a fractional Brownian motion with Hurst parameter H ∈ (1/2, 1). We would like to emphasize that we do not use the usual cohomology method, consisting of transforming the stochastic equation into a random one, but we deal directly with the stochastic equation. In particular, in order to get adequate a priori estimates of the solution needed for the existence of an absorbing ball, we will introduce stopping times to control the size of the noise. In the first part of this article we shall obtain the existence of a pullback attractor for the nonautonomous dynamical system generated by the pathwise mild solution of an nonlinear infinitedimensional evolution equation with a nontrivial Hölder continuous driving function. In the second part, we shall consider the random setup: stochastic equations having as a driving process a fractional
Brownian motion with H ∈ (1/2, 1). Under a smallness condition for that noise we will show the existence and uniqueness of a random attractor for the stochastic evolution equation. | es |
dc.description.sponsorship | National Natural Science Foundation of China | es |
dc.description.sponsorship | National Basic Research Program of China | es |
dc.description.sponsorship | Natural Science Foundation of Jiangsu Province | es |
dc.description.sponsorship | Jiangsu Higher Education Committee of China | es |
dc.description.sponsorship | Jiangsu Collaborative Innovation Center for Climate Change | es |
dc.description.sponsorship | European Funds for Regional Development | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Society for Industrial and Applied Mathematics | es |
dc.relation.ispartof | SIAM Journal on Mathematical Analysis, 46 (4), 2281-2309. | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | fractional derivatives | es |
dc.subject | pathwise mild solutions | es |
dc.subject | nonautonomous and random dynamical systems | es |
dc.subject | fractional Brownian motion | es |
dc.subject | pullback and random attractors | es |
dc.title | Random attractors for stochastic evolution equations driven by fractional brownian motion | 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.projectID | 11171158 | es |
dc.relation.projectID | 2013CB834100 | es |
dc.relation.projectID | BK2011777 | es |
dc.relation.projectID | 11KJA110001 | es |
dc.relation.projectID | MTM2011-22411 | es |
dc.relation.publisherversion | http://epubs.siam.org/doi/pdf/10.1137/130930662 | |
dc.identifier.doi | 10.1137/130930662 | es |
idus.format.extent | 29 p. | es |
dc.journaltitle | SIAM Journal on Mathematical Analysis | es |
dc.publication.volumen | 46 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 2281 | es |
dc.publication.endPage | 2309 | es |
dc.relation.publicationplace | Philadelphia | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42198 | |