Four variations in global Carleman weights applied to inverse and controllability problems

Detalhes bibliográficos
Autor(a) principal: Osses,Axel
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=S1807-03022006000200004
Resumo: This paper reviews four variants of global Carleman weights that are especially adapted to some singular controllability and inverse problems in partial differential equations. These variants arise when studying: i) one measurement stationary source inverse problems for the heat equation with discontinuous coefficients, ii) one measurement stationary potential inverse problems for the heat equation with discontinuous coefficients, iii) null controllability for fluid-structure problems in mobile domains and iv) recovering coefficients from locally supported boundary observations for the wave equation. In all the case we explain how to explicitly construct the Carleman weight.
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spelling Four variations in global Carleman weights applied to inverse and controllability problemsCarleman inequalitiesexact controllabilityinverse problemsNavier-Stokes equations.This paper reviews four variants of global Carleman weights that are especially adapted to some singular controllability and inverse problems in partial differential equations. These variants arise when studying: i) one measurement stationary source inverse problems for the heat equation with discontinuous coefficients, ii) one measurement stationary potential inverse problems for the heat equation with discontinuous coefficients, iii) null controllability for fluid-structure problems in mobile domains and iv) recovering coefficients from locally supported boundary observations for the wave equation. In all the case we explain how to explicitly construct the Carleman weight.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=S1807-03022006000200004Computational & Applied Mathematics v.25 n.2-3 2006reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S0101-82052006000200004info:eu-repo/semantics/openAccessOsses,Axeleng2007-03-19T00:00:00Zoai:scielo:S1807-03022006000200004Revistahttps://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 Four variations in global Carleman weights applied to inverse and controllability problems
title Four variations in global Carleman weights applied to inverse and controllability problems
spellingShingle Four variations in global Carleman weights applied to inverse and controllability problems
Osses,Axel
Carleman inequalities
exact controllability
inverse problems
Navier-Stokes equations.
title_short Four variations in global Carleman weights applied to inverse and controllability problems
title_full Four variations in global Carleman weights applied to inverse and controllability problems
title_fullStr Four variations in global Carleman weights applied to inverse and controllability problems
title_full_unstemmed Four variations in global Carleman weights applied to inverse and controllability problems
title_sort Four variations in global Carleman weights applied to inverse and controllability problems
author Osses,Axel
author_facet Osses,Axel
author_role author
dc.contributor.author.fl_str_mv Osses,Axel
dc.subject.por.fl_str_mv Carleman inequalities
exact controllability
inverse problems
Navier-Stokes equations.
topic Carleman inequalities
exact controllability
inverse problems
Navier-Stokes equations.
description This paper reviews four variants of global Carleman weights that are especially adapted to some singular controllability and inverse problems in partial differential equations. These variants arise when studying: i) one measurement stationary source inverse problems for the heat equation with discontinuous coefficients, ii) one measurement stationary potential inverse problems for the heat equation with discontinuous coefficients, iii) null controllability for fluid-structure problems in mobile domains and iv) recovering coefficients from locally supported boundary observations for the wave equation. In all the case we explain how to explicitly construct the Carleman weight.
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=S1807-03022006000200004
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022006000200004
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0101-82052006000200004
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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