A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation

Detalhes bibliográficos
Autor(a) principal: Cavaterra,Cecilia
Data de Publicação: 2006
Outros Autores: Lorenzi,Alfredo, Yamamoto,Masahiro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022006000200007
Resumo: First we prove a Carleman estimate for a hyperbolic integro-differential equation. Next we apply such a result to identify a spatially dependent function in a source term by an (additional) single measurement on the boundary.
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spelling A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equationHyperbolic integro-differential equationCarleman estimateinverse source problemstability estimateFirst we prove a Carleman estimate for a hyperbolic integro-differential equation. Next we apply such a result to identify a spatially dependent function in a source term by an (additional) single measurement on the boundary.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=S1807-03022006000200007Computational & Applied Mathematics v.25 n.2-3 2006reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMACinfo:eu-repo/semantics/openAccessCavaterra,CeciliaLorenzi,AlfredoYamamoto,Masahiroeng2007-03-19T00:00:00Zoai:scielo:S1807-03022006000200007Revistahttps://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 A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation
title A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation
spellingShingle A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation
Cavaterra,Cecilia
Hyperbolic integro-differential equation
Carleman estimate
inverse source problem
stability estimate
title_short A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation
title_full A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation
title_fullStr A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation
title_full_unstemmed A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation
title_sort A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation
author Cavaterra,Cecilia
author_facet Cavaterra,Cecilia
Lorenzi,Alfredo
Yamamoto,Masahiro
author_role author
author2 Lorenzi,Alfredo
Yamamoto,Masahiro
author2_role author
author
dc.contributor.author.fl_str_mv Cavaterra,Cecilia
Lorenzi,Alfredo
Yamamoto,Masahiro
dc.subject.por.fl_str_mv Hyperbolic integro-differential equation
Carleman estimate
inverse source problem
stability estimate
topic Hyperbolic integro-differential equation
Carleman estimate
inverse source problem
stability estimate
description First we prove a Carleman estimate for a hyperbolic integro-differential equation. Next we apply such a result to identify a spatially dependent function in a source term by an (additional) single measurement on the boundary.
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=S1807-03022006000200007
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022006000200007
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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