Identification of the collision kernel in the linear Boltzmann equation by a finite number of measurements on the boundary

Detalhes bibliográficos
Autor(a) principal: Cipolatti,Rolci
Data de Publicação: 2006
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022006000200012
Resumo: In this paper we consider the inverse problem of recovering the collision kernel for the time dependent linear Boltzmann equation via a finite number of boundary measurements. We prove that this kernel can be uniquely determined by at most k measurements, provided that it belongs to a finite k-dimensional vector space.
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spelling Identification of the collision kernel in the linear Boltzmann equation by a finite number of measurements on the boundaryinverse problemlinear Boltzmann equationalbedo operatorboundary measurementsIn this paper we consider the inverse problem of recovering the collision kernel for the time dependent linear Boltzmann equation via a finite number of boundary measurements. We prove that this kernel can be uniquely determined by at most k measurements, provided that it belongs to a finite k-dimensional vector space.Sociedade Brasileira de Matemática Aplicada e Computacional2006-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022006000200012Computational & Applied Mathematics v.25 n.2-3 2006reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMACinfo:eu-repo/semantics/openAccessCipolatti,Rolcieng2007-03-19T00:00:00Zoai:scielo:S1807-03022006000200012Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2007-03-19T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv Identification of the collision kernel in the linear Boltzmann equation by a finite number of measurements on the boundary
title Identification of the collision kernel in the linear Boltzmann equation by a finite number of measurements on the boundary
spellingShingle Identification of the collision kernel in the linear Boltzmann equation by a finite number of measurements on the boundary
Cipolatti,Rolci
inverse problem
linear Boltzmann equation
albedo operator
boundary measurements
title_short Identification of the collision kernel in the linear Boltzmann equation by a finite number of measurements on the boundary
title_full Identification of the collision kernel in the linear Boltzmann equation by a finite number of measurements on the boundary
title_fullStr Identification of the collision kernel in the linear Boltzmann equation by a finite number of measurements on the boundary
title_full_unstemmed Identification of the collision kernel in the linear Boltzmann equation by a finite number of measurements on the boundary
title_sort Identification of the collision kernel in the linear Boltzmann equation by a finite number of measurements on the boundary
author Cipolatti,Rolci
author_facet Cipolatti,Rolci
author_role author
dc.contributor.author.fl_str_mv Cipolatti,Rolci
dc.subject.por.fl_str_mv inverse problem
linear Boltzmann equation
albedo operator
boundary measurements
topic inverse problem
linear Boltzmann equation
albedo operator
boundary measurements
description In this paper we consider the inverse problem of recovering the collision kernel for the time dependent linear Boltzmann equation via a finite number of boundary measurements. We prove that this kernel can be uniquely determined by at most k measurements, provided that it belongs to a finite k-dimensional vector space.
publishDate 2006
dc.date.none.fl_str_mv 2006-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022006000200012
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022006000200012
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational & Applied Mathematics v.25 n.2-3 2006
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron_str SBMAC
institution SBMAC
reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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