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Artículo
Asymptotic behaviour of nonlocal reaction-diffusion equations
dc.creator | Anguiano Moreno, María | es |
dc.creator | Kloeden, Peter E. | es |
dc.creator | Lorenz, Thomas | es |
dc.date.accessioned | 2024-05-03T10:44:23Z | |
dc.date.available | 2024-05-03T10:44:23Z | |
dc.date.issued | 2010 | |
dc.identifier.issn | 0362-546X | es |
dc.identifier.uri | https://hdl.handle.net/11441/157544 | |
dc.description.abstract | The existence of a global attractor in L^2(Ω) is established for a reaction-diffusion equation on a bounded domain Ω in R^d with Dirichlet boundary conditions, where the reaction term contains an operator F : L^2(Ω) → L^2(Ω) which is nonlocal and possibly nonlinear. Existence of weak solutions is established, but uniqueness is not required. Compactness of the multivalued flow is obtained via estimates obtained from limits of Galerkin approximations. In contrast with the usual situation, these limits apply for all and not just for almost all time instants. | es |
dc.description.sponsorship | Ministerio de Ciencia y Tecnología BFM2002-03068 | es |
dc.description.sponsorship | DFG grants KL1203/7, LO273/5 | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Reaction–diffusion equation, Nonlocal reaction term, Multivalued flow, Global attractor, Bounded absorbing sets | es |
dc.title | Asymptotic behaviour of nonlocal reaction-diffusion equations | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/acceptedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | BFM2002-03068 | es |
dc.relation.projectID | KL1203/7, LO273/5 | es |
dc.relation.publisherversion | https://doi.org/10.1016/j.na.2010.06.073 | es |
dc.identifier.doi | 10.1016/j.na.2010.06.073 | es |
dc.journaltitle | Nonlinear Analysis | es |
dc.publication.volumen | 73 | es |
dc.publication.issue | 9 | es |
dc.publication.initialPage | 3044 | es |
dc.publication.endPage | 3057 | es |
dc.contributor.funder | Ministerio de Ciencia y Tecnología | es |
dc.contributor.funder | DFG grants | es |
Ficheros | Tamaño | Formato | Ver | Descripción |
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Anguiano_Kloeden_Lorenz.pdf | 400.3Kb | ![]() | Ver/ | |