Overdetermined partial boundary value problems on finite networks

© <2015>. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/

Detalles Bibliográficos
Autores: Arauz Lombardía, Cristina|||0000-0001-7597-8028, Carmona Mejías, Ángeles|||0000-0001-7713-1066, Encinas Bachiller, Andrés Marcos|||0000-0001-5588-0373
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/87715
Acceso en línea:https://hdl.handle.net/2117/87715
https://dx.doi.org/10.1016/j.jmaa.2014.09.025
Access Level:acceso abierto
Palabra clave:Boundary value problems
Dirichlet-to-Neumann map
Inverse problem
Recovery of conductance
UNIQUENESS
Equacions diferencials ordinàries
34B Boundary value problems
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal
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spelling Overdetermined partial boundary value problems on finite networksArauz Lombardía, Cristina|||0000-0001-7597-8028Carmona Mejías, Ángeles|||0000-0001-7713-1066Encinas Bachiller, Andrés Marcos|||0000-0001-5588-0373Boundary value problemsBoundary value problemsDirichlet-to-Neumann mapInverse problemRecovery of conductanceUNIQUENESSEquacions diferencials ordinàries34B Boundary value problemsÀrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal© <2015>. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/In this study, we define a class of non-self-adjoint boundary value problems on finite networks associated with Schrodinger operators. The novel feature of this study is that no data are prescribed on part of the boundary, whereas both the values of the function and of its normal derivative are given on another part of the boundary. We show that overdetermined partial boundary value problems are crucial for solving inverse boundary value problems on finite networks since they provide the theoretical foundations for the recovery algorithm. We analyze the uniqueness and the existence of solution for overdetermined partial boundary value problems based on the nonsingularity of partial Dirichlet-to-Neumann maps. These maps allow us to determine the value of the solution in the part of the boundary where no data was prescribed. We also execute full conductance recovery for spider networks. (C) 2014 Elsevier Inc. All rights reserved.Peer Reviewed20152015-03-0120162016-06-06journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/87715https://dx.doi.org/10.1016/j.jmaa.2014.09.025reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2http://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/877152026-05-27T15:37:01Z
dc.title.none.fl_str_mv Overdetermined partial boundary value problems on finite networks
title Overdetermined partial boundary value problems on finite networks
spellingShingle Overdetermined partial boundary value problems on finite networks
Arauz Lombardía, Cristina|||0000-0001-7597-8028
Boundary value problems
Boundary value problems
Dirichlet-to-Neumann map
Inverse problem
Recovery of conductance
UNIQUENESS
Equacions diferencials ordinàries
34B Boundary value problems
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal
title_short Overdetermined partial boundary value problems on finite networks
title_full Overdetermined partial boundary value problems on finite networks
title_fullStr Overdetermined partial boundary value problems on finite networks
title_full_unstemmed Overdetermined partial boundary value problems on finite networks
title_sort Overdetermined partial boundary value problems on finite networks
dc.creator.none.fl_str_mv Arauz Lombardía, Cristina|||0000-0001-7597-8028
Carmona Mejías, Ángeles|||0000-0001-7713-1066
Encinas Bachiller, Andrés Marcos|||0000-0001-5588-0373
author Arauz Lombardía, Cristina|||0000-0001-7597-8028
author_facet Arauz Lombardía, Cristina|||0000-0001-7597-8028
Carmona Mejías, Ángeles|||0000-0001-7713-1066
Encinas Bachiller, Andrés Marcos|||0000-0001-5588-0373
author_role author
author2 Carmona Mejías, Ángeles|||0000-0001-7713-1066
Encinas Bachiller, Andrés Marcos|||0000-0001-5588-0373
author2_role author
author
dc.subject.none.fl_str_mv Boundary value problems
Boundary value problems
Dirichlet-to-Neumann map
Inverse problem
Recovery of conductance
UNIQUENESS
Equacions diferencials ordinàries
34B Boundary value problems
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal
topic Boundary value problems
Boundary value problems
Dirichlet-to-Neumann map
Inverse problem
Recovery of conductance
UNIQUENESS
Equacions diferencials ordinàries
34B Boundary value problems
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal
description © <2015>. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-03-01
2016
2016-06-06
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/87715
https://dx.doi.org/10.1016/j.jmaa.2014.09.025
url https://hdl.handle.net/2117/87715
https://dx.doi.org/10.1016/j.jmaa.2014.09.025
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2

http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2

http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
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