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Phragmén-Lindelöf alternative for an exact heat conduction equation with delay
dc.contributor.author | Leseduarte Milán, María Carme |
dc.contributor.author | Quintanilla de Latorre, Ramón |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
dc.date.accessioned | 2012-10-11T14:06:43Z |
dc.date.created | 2013-05-01 |
dc.date.issued | 2013-05-01 |
dc.identifier.citation | Leseduarte, M.C.; Quintanilla, R. Phragmén-Lindelöf alternative for an exact heat conduction equation with delay. "Communications on pure and applied analysis", 01 Maig 2013, vol. 12, núm. 3, p. 1221-1235. |
dc.identifier.issn | 1534-0392 |
dc.identifier.uri | http://hdl.handle.net/2117/16720 |
dc.description.abstract | In this paper we investigate the spatial behavior of the solutions for a theory for the heat conduction with one delay term. We obtain a Phragm én- Lindelöf type alternative. That is, the solutions either decay in an exponential way or blow-up at in nity in an exponential way. We also show how to obtain an upper bound for the amplitude term. Later we point out how to extend the results to a thermoelastic problem. We nish the paper by considering the equation obtained by the Taylor approximation to the delay term. A Phragm én-Lindelöf type alternative is obtained for the forward and backward in time equations. |
dc.format.extent | 15 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials |
dc.subject | Àrees temàtiques de la UPC::Física::Termodinàmica::Física de la transmissió de la calor |
dc.subject.lcsh | Heat--Transmission |
dc.subject.lcsh | Differential equations, Partial |
dc.title | Phragmén-Lindelöf alternative for an exact heat conduction equation with delay |
dc.type | Article |
dc.subject.lemac | Calor -- Transmissió -- Matemàtica |
dc.subject.lemac | Equacions diferencials parcials |
dc.contributor.group | Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
dc.identifier.doi | 10.3934/cpaa.2013.12.1221 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application |
dc.subject.ams | Classificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer |
dc.relation.publisherversion | http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=7745 |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 10954347 |
dc.description.version | Postprint (published version) |
dc.date.lift | 10000-01-01 |
local.citation.author | Leseduarte, M.C.; Quintanilla, R. |
local.citation.publicationName | Communications on pure and applied analysis |
local.citation.volume | 12 |
local.citation.number | 3 |
local.citation.startingPage | 1221 |
local.citation.endingPage | 1235 |
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