dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | Herrera Cobos, Marta | es |
dc.creator | Marín Rubio, Pedro | es |
dc.date.accessioned | 2019-03-12T07:13:53Z | |
dc.date.available | 2019-03-12T07:13:53Z | |
dc.date.issued | 2018-10 | |
dc.identifier.citation | Caraballo Garrido, T., Herrera Cobos, M. y Marín Rubio, P. (2018). Time-dependent attractors for non-autonomous nonlocal reaction-diffusion equations. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 148 (5), 957-981. | |
dc.identifier.issn | 0308-2105 | es |
dc.identifier.issn | 1473-7124 | es |
dc.identifier.uri | https://hdl.handle.net/11441/84147 | |
dc.description.abstract | In this paper, the existence and uniqueness of weak and strong solutions for a
non-autonomous nonlocal reaction-diffusion equation is proved. Next, the existence of minimal pullback attractors in the L2 -norm in the frameworks of universes of fixed bounded sets and those given by a tempered growth condition, and some relationships between them are established. Finally, we prove the existence of minimal pullback attractors in the H1-norm and study relationships among these new families and those given previously in the L2
- context. The results are also new in the autonomous framework in order to ensure the existence of global compact attractors, as a particular case. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Cambridge University Press | es |
dc.relation.ispartof | Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 148 (5), 957-981. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Non-autonomous nonlocal reaction-diffusion equations | es |
dc.subject | Pullback attractors | es |
dc.subject | Asymptotic compactness | es |
dc.subject | Regularity of attractors | es |
dc.title | Time-dependent attractors for non-autonomous nonlocal reaction-diffusion equations | 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.projectID | MTM2015-63723-P | es |
dc.relation.projectID | P12-FQM-1492 | es |
dc.relation.projectID | BES2012-053398 | es |
dc.relation.publisherversion | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/04E479E4D149892AC173637B123D06DB/S0308210517000348a.pdf/timedependent_attractors_for_nonautonomous_nonlocal_reactiondiffusion_equations.pdf | es |
dc.identifier.doi | 10.1017/S0308210517000348 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
idus.format.extent | 25 p. | es |
dc.journaltitle | Proceedings of the Royal Society of Edinburgh: Section A Mathematics | es |
dc.publication.volumen | 148 | es |
dc.publication.issue | 5 | es |
dc.publication.initialPage | 957 | es |
dc.publication.endPage | 981 | es |