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dc.contributor.authorCasas Rentería, Eduardo 
dc.contributor.authorKunisch, Karl
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2025-02-03T15:15:56Z
dc.date.available2025-02-03T15:15:56Z
dc.date.issued2025-04
dc.identifier.issn1553-5258
dc.identifier.issn1534-0392
dc.identifier.otherPID2020-114837GB-I00es_ES
dc.identifier.urihttps://hdl.handle.net/10902/35316
dc.description.abstractThis paper is devoted to proving L∞-estimates for the solution of semilinear parabolic equations. The uniform estimates are obtained on the infinite time interval under the assumption that the solution is square integrable. This setting is useful for stabilization problems formulated as optimal control problems. The inhomogenous forcing function are chosen as elements of anisotropic Lebesgue spaces. Different boundary conditions on bounded domains with a Lipschitz continuous boundary are investigated.es_ES
dc.description.sponsorshipThe first author was supported by MCIN/ AEI/10.13039/501100011033/ under research project PID2020-114837GB-I00es_ES
dc.format.extent25 p.es_ES
dc.language.isoenges_ES
dc.publisherAIMS Presses_ES
dc.rights© American Institute of Mathematical Sciences. This article has been accepted for publication in a revised form in Communications on Pure and Applied Analysis https://www.aimsciences.org/article/doi/10.3934/cpaa.2025002. This version is free to download for private research and study only. Not for redistribution, re-sale or use in derivative works.es_ES
dc.sourceCommunications on Pure and Applied Analysis, 2025, 24(4), 482-506es_ES
dc.titleSpace-time L∞-estimates for solutions of infinite horizon semilinear parabolic equationses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.3934/cpaa.2025002es_ES
dc.rights.accessRightsopenAccesses_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-114837GB-I00/ES/CONTROL OPTIMO DE ECUACIONES EN DERIVADAS PARCIALES NO LINEALES. ESTUDIO TEORICO, ANALISIS NUMERICO Y APLICACIONES/es_ES
dc.identifier.DOI10.3934/cpaa.2025002
dc.type.versionacceptedVersiones_ES


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