Uniqueness in the Inverse Conductivity Problem for Complex-Valued Lipschitz Conductivities in the Plane

Detalhes bibliográficos
Autor(a) principal: Lakshtanov, Evgeny
Data de Publicação: 2017
Outros Autores: Vainberg, Boris, Tejero, Jorge
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/18418
Resumo: We consider the inverse impedance tomography problem in the plane. Using Bukhgeim's scattering data for the Dirac problem, we prove that the conductivity is uniquely determined by the Dirichlet-to-Neuman map. Read More: http://epubs.siam.org/doi/abs/10.1137/17M1120981
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spelling Uniqueness in the Inverse Conductivity Problem for Complex-Valued Lipschitz Conductivities in the PlaneBukhgeim's scattering problemInverse Dirac problemComplex conductivityInverse conductivity problemWe consider the inverse impedance tomography problem in the plane. Using Bukhgeim's scattering data for the Dirac problem, we prove that the conductivity is uniquely determined by the Dirichlet-to-Neuman map. Read More: http://epubs.siam.org/doi/abs/10.1137/17M1120981Society for Industrial and Applied Mathematics2017-10-02T11:04:59Z2017-09-26T00:00:00Z2017-09-26info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/18418eng0036-141010.1137/17M1120981Lakshtanov, EvgenyVainberg, BorisTejero, Jorgeinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:34:56Zoai:ria.ua.pt:10773/18418Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:53:08.507807Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Uniqueness in the Inverse Conductivity Problem for Complex-Valued Lipschitz Conductivities in the Plane
title Uniqueness in the Inverse Conductivity Problem for Complex-Valued Lipschitz Conductivities in the Plane
spellingShingle Uniqueness in the Inverse Conductivity Problem for Complex-Valued Lipschitz Conductivities in the Plane
Lakshtanov, Evgeny
Bukhgeim's scattering problem
Inverse Dirac problem
Complex conductivity
Inverse conductivity problem
title_short Uniqueness in the Inverse Conductivity Problem for Complex-Valued Lipschitz Conductivities in the Plane
title_full Uniqueness in the Inverse Conductivity Problem for Complex-Valued Lipschitz Conductivities in the Plane
title_fullStr Uniqueness in the Inverse Conductivity Problem for Complex-Valued Lipschitz Conductivities in the Plane
title_full_unstemmed Uniqueness in the Inverse Conductivity Problem for Complex-Valued Lipschitz Conductivities in the Plane
title_sort Uniqueness in the Inverse Conductivity Problem for Complex-Valued Lipschitz Conductivities in the Plane
author Lakshtanov, Evgeny
author_facet Lakshtanov, Evgeny
Vainberg, Boris
Tejero, Jorge
author_role author
author2 Vainberg, Boris
Tejero, Jorge
author2_role author
author
dc.contributor.author.fl_str_mv Lakshtanov, Evgeny
Vainberg, Boris
Tejero, Jorge
dc.subject.por.fl_str_mv Bukhgeim's scattering problem
Inverse Dirac problem
Complex conductivity
Inverse conductivity problem
topic Bukhgeim's scattering problem
Inverse Dirac problem
Complex conductivity
Inverse conductivity problem
description We consider the inverse impedance tomography problem in the plane. Using Bukhgeim's scattering data for the Dirac problem, we prove that the conductivity is uniquely determined by the Dirichlet-to-Neuman map. Read More: http://epubs.siam.org/doi/abs/10.1137/17M1120981
publishDate 2017
dc.date.none.fl_str_mv 2017-10-02T11:04:59Z
2017-09-26T00:00:00Z
2017-09-26
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/18418
url http://hdl.handle.net/10773/18418
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0036-1410
10.1137/17M1120981
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Society for Industrial and Applied Mathematics
publisher.none.fl_str_mv Society for Industrial and Applied Mathematics
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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