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dc.contributor.authorLeseduarte Milán, María Carme
dc.contributor.authorQuintanilla de Latorre, Ramón
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II
dc.date.accessioned2015-10-20T15:32:43Z
dc.date.available2016-11-01T01:30:43Z
dc.date.issued2015-11-01
dc.identifier.citationLeseduarte, M. C., Quintanilla, R. Spatial behavior for solutions in heat conduction with two delays. "Applicable analysis: an international journal", 01 Novembre 2015, vol. 94, núm. 11, p. 2331-2341.
dc.identifier.issn0003-6811
dc.identifier.urihttp://hdl.handle.net/2117/77992
dc.description.abstractIn this note, we investigate the spatial behavior of the solutions of the equation proposed to describe a theory for the heat conduction with two delay terms. We obtain an alternative of the Phragmén-Lindelöf type, which means that the solutions either decay or blow-up at infinity, both options in an exponential way. We also describe how to obtain an upper bound for the amplitude term. This is the first contribution on spatial behavior for partial differential equations involving two delay terms. We use energy arguments. The main point of the contribution is the use of an exponentially weighted energy function.
dc.format.extent11 p.
dc.language.isoeng
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
dc.subjectÀrees temàtiques de la UPC::Física::Termodinàmica
dc.subject.lcshHeat--Conduction
dc.subject.lcshDifferential equations, Partial
dc.subject.otherThree dual-phase-lag heat conduction
dc.subject.otherTwo-temperature heat conduction
dc.subject.otherSpatial estimate
dc.subject.otherEnergy argument
dc.subject.otherEquation with delay
dc.titleSpatial behavior for solutions in heat conduction with two delays
dc.typeArticle
dc.subject.lemacEquacions diferencials parcials
dc.subject.lemacCalor -- Conducció
dc.contributor.groupUniversitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
dc.identifier.doi10.1080/00036811.2014.983488
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
dc.subject.amsClassificació AMS::35 Partial differential equations::35E Equations and systems with constant coefficients
dc.subject.amsClassificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer
dc.relation.publisherversionhttp://www.tandfonline.com/doi/abs/10.1080/00036811.2014.983488
dc.rights.accessOpen Access
local.identifier.drac16890277
dc.description.versionPostprint (author’s final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO//MTM2013-42004-P/ES/ANALISIS MATEMATICO DE LAS ECUACIONES EN DERIVADAS PARCIALES DE LA TERMOMECANICA/
local.citation.authorLeseduarte, M. C.; Quintanilla, R.
local.citation.publicationNameApplicable analysis: an international journal
local.citation.volume94
local.citation.number11
local.citation.startingPage2331
local.citation.endingPage2341


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