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Please use this identifier to cite or link to this item: https://hdl.handle.net/11000/38193
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dc.contributor.authorCaballero-Toro, Rubén-
dc.contributor.authorKalita, Piotr-
dc.contributor.authorValero, José-
dc.contributor.otherDepartamentos de la UMH::Estadística, Matemáticas e Informáticaes_ES
dc.date.accessioned2025-11-14T08:51:29Z-
dc.date.available2025-11-14T08:51:29Z-
dc.date.created2025-03-
dc.identifier.citationCommunications on Pure and Applied Analysis, Vol. 24, Nº 3 (2025)es_ES
dc.identifier.issn1553-5258-
dc.identifier.issn1534-0392-
dc.identifier.urihttps://hdl.handle.net/11000/38193-
dc.description.abstractIn this paper, we study the structure of the global attractor for weak and regular solutions of a problem governed by a scalar semilinear reactiondiffusion equation with a non-regular nonlinearity, such that uniqueness of solutions can fail to happen. First, using the Moser–Alikakos iterations we obtain the estimates of the weak solutions in the space L∞(Ω). After that, using these estimates we improve the existing results on the structure of the attractor. Finally, estimates of the Hausdorff and fractal dimension of the attractor are obtained.es_ES
dc.formatapplication/pdfes_ES
dc.language.isoenges_ES
dc.publisherAmerican Institute of Mathematical Scienceses_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.subjectReaction-diffusion equationses_ES
dc.subjectSet-valued dynamical systemes_ES
dc.subjectGlobal attractores_ES
dc.subjectUnstable manifoldses_ES
dc.subjectAsymptotic behaviores_ES
dc.subject.otherCDU::5 - Ciencias puras y naturales::51 - Matemáticases_ES
dc.titleOn L∞-estimates and the structure of the global attractor for weak solutions of reaction-diffusion equationses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherversionhttp://dx.doi.org/10.3934/cpaa.2024093es_ES
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