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dc.contributor.authorXu, Jiaohui-
dc.contributor.authorCaraballo, Tomas-
dc.contributor.authorValero, José-
dc.contributor.otherDepartamentos de la UMH::Estadística, Matemáticas e Informáticaes_ES
dc.date.accessioned2024-07-22T10:20:12Z-
dc.date.available2024-07-22T10:20:12Z-
dc.date.created2023-12-20-
dc.identifier.citationVolume 89, article number 22, (2024)es_ES
dc.identifier.issn1432-0606-
dc.identifier.issn0095-4616-
dc.identifier.urihttps://hdl.handle.net/11000/32596-
dc.description.abstractA kind of nonlocal reaction-di¤usion equations on an unbounded domain containing a frac- tional Laplacian operator is analyzed. To be precise, we prove the convergence of solutions of the equation governed by the fractional Laplacian to the solutions of the classical equation governed by the standard Laplacian, when the fractional parameter grows to 1. The existence of global attractors is investigated as well. The novelty of this paper is concerned with the convergence of solutions when the fractional parameter varies, which, as far as the authors are aware, seems to be the rst result of this kind of problems in the literature.es_ES
dc.formatapplication/pdfes_ES
dc.format.extent30es_ES
dc.language.isoenges_ES
dc.publisherPlan S Approvedes_ES
dc.rightsinfo:eu-repo/semantics/closedAccesses_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectFractional Laplacianes_ES
dc.subjectConvergence of solutionses_ES
dc.subjectGlobal attractorses_ES
dc.subjectAMS subject classi cationses_ES
dc.subject35R11, 35A15, 35B41, 35K65es_ES
dc.subject.otherCDU::5 - Ciencias puras y naturales::51 - Matemáticases_ES
dc.titleOn the limit of solutions for a reaction-di¤usion equation containing fractional Laplacianses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherversionhttps://doi.org/10.1007/s00245-023-10090-6es_ES
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