dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | Herrera Cobos, Marta | es |
dc.creator | Marín Rubio, Pedro | es |
dc.date.accessioned | 2017-12-11T09:55:56Z | |
dc.date.available | 2017-12-11T09:55:56Z | |
dc.date.issued | 2018-03 | |
dc.identifier.citation | Caraballo Garrido, T., Herrera Cobos, M. y Marín Rubio, P. (2018). Asymptotic behaviour of nonlocal p-Laplacian reaction-diffusion problems. Journal of Mathematical Analysis and Applications, 459 (2), 997-1015. | |
dc.identifier.issn | 0022-247X | es |
dc.identifier.uri | http://hdl.handle.net/11441/67409 | |
dc.description.abstract | In this paper, we focus on studying the existence of attractors in the phase spaces L2(Ω) and Lp(Ω) (among others) for time-dependent p-Laplacian equations with nonlocal diffusion and nonlinearities of reaction-diffusion type. Firstly, we prove the existence of weak solutions making use of a change of variable which allows us to get rid of the nonlocal operator in the diffusion term. Thereupon, the regularising effect of the equation is shown applying an argument of a posteriori regularity, since under the assumptions made we cannot guarantee the uniqueness of weak solutions. In addition, this argument allows to ensure the existence of an absorbing family in
W1,p 0 (Ω). This leads to the existence of the minimal pullback attractors in L2(Ω), Lp(Ω) and some other spaces as Lp∗−(Ω). Relationships between these families are also established. | 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 | Elsevier | es |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications, 459 (2), 997-1015. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Nonlocal p-Laplacian equations | es |
dc.subject | Pullback attractors | es |
dc.subject | Asymptotic compactness | es |
dc.subject | Multi-valued dynamical systems | es |
dc.title | Asymptotic behaviour of nonlocal p-Laplacian reaction-diffusion problems | es |
dc.type | info:eu-repo/semantics/article | es |
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 | BES-2012-053398 | es |
dc.relation.publisherversion | https://ac.els-cdn.com/S0022247X17310144/1-s2.0-S0022247X17310144-main.pdf?_tid=c870c86a-de58-11e7-a44c-00000aacb361&acdnat=1512986036_ad64f206e62be1357ab7ddc81a5a1ba7 | es |
dc.identifier.doi | 10.1016/j.jmaa.2017.11.013 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
idus.format.extent | 19 p. | es |
dc.journaltitle | Journal of Mathematical Analysis and Applications | es |
dc.publication.volumen | 459 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 997 | es |
dc.publication.endPage | 1015 | es |