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dc.contributor.author
Boukrouche, Mahdi  
dc.contributor.author
Tarzia, Domingo Alberto  
dc.date.available
2017-12-20T17:52:47Z  
dc.date.issued
2014-06  
dc.identifier.citation
Tarzia, Domingo Alberto; Boukrouche, Mahdi; Global solution to a non-classical heat problem in the semi-space r+ × rn−1; Univ Press Inc; Quarterly Of Applied Mathematics; 72; 2; 6-2014; 347-361  
dc.identifier.issn
0033-569X  
dc.identifier.uri
http://hdl.handle.net/11336/31128  
dc.description.abstract
We consider the non-classical heat equation in the n-dimensional domain D = R+ × Rn−1 for which the internal energy supply depends on the heat flux on the boundary S = ∂D. The problem is motivated by the modeling of temperature regulation in the medium. Using the Green function for the domain D, the solution is found for an integral representation depending on the heat flux V on S which is an additional unknown of the problem. We obtain that V must satisfy a Volterra integral equation of second kind at time t with a parameter in Rn−1. Under some conditions on data, we show that there exists a unique local solution which can be extended globally in time. This work generalizes the results obtained in the one-dimensional case  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Univ Press Inc  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Non-Classical Heat Equation  
dc.subject
Global Solution  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Global solution to a non-classical heat problem in the semi-space r+ × rn−1  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-12-07T15:42:07Z  
dc.journal.volume
72  
dc.journal.number
2  
dc.journal.pagination
347-361  
dc.journal.pais
Estados Unidos  
dc.journal.ciudad
Providence  
dc.description.fil
Fil: Boukrouche, Mahdi. Universite Lyon 2; Francia  
dc.description.fil
Fil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Cs.empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.journal.title
Quarterly Of Applied Mathematics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1090/S0033-569X-2014-01344-1  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/journals/qam/2014-72-02/S0033-569X-2014-01344-1/home.html