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Artículo
Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion
dc.creator | Xu, Jiaohui | es |
dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | Valero, José | es |
dc.date.accessioned | 2022-09-30T08:33:51Z | |
dc.date.available | 2022-09-30T08:33:51Z | |
dc.date.issued | 2022-08 | |
dc.identifier.citation | Xu, J., Caraballo Garrido, T. y Valero, J. (2022). Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion. Journal of Differential Equations, 327, 418-447. | |
dc.identifier.issn | 0022-0396 | es |
dc.identifier.issn | 1090-2732 | es |
dc.identifier.uri | https://hdl.handle.net/11441/137509 | |
dc.description.abstract | In this paper, the asymptotic behavior of a semilinear heat equation with long time memory and non-local diffusion is analyzed in the usual set-up for dynamical systems generated by differential equations with delay terms. This approach is different from the previous published literature on the long time behavior of heat equations with memory which is carried out by the Dafermos transformation. As a consequence, the obtained results provide complete information about the attracting sets for the original problem, instead of the transformed one. In particular, the proved results also generalize and complete previous literature in the local case. | es |
dc.format | application/pdf | es |
dc.format.extent | 29 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Differential Equations, 327, 418-447. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Non-local partial differential equations | es |
dc.subject | Long time memory | es |
dc.subject | Dafermos transformation | es |
dc.subject | Global attractors | es |
dc.title | Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion | 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.jde.2022.04.033 | es |
dc.identifier.doi | 10.1016/j.jde.2022.04.033 | es |
dc.journaltitle | Journal of Differential Equations | es |
dc.publication.volumen | 327 | es |
dc.publication.initialPage | 418 | es |
dc.publication.endPage | 447 | es |
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