Uniqueness properties for Discrete equations and Carleman estimates

Using Carleman estimates, we give a lower bound for solutions to the discrete Schrödinger equation in both dynamic and stationary settings that allows us to prove uniqueness results, under some assumptions on the decay of the solutions.

Detalles Bibliográficos
Autores: Fernández Bertolin, Aingeru, Vega González, Luis
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/74879
Acceso en línea:http://hdl.handle.net/10810/74879
Access Level:acceso abierto
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spelling Uniqueness properties for Discrete equations and Carleman estimatesFernández Bertolin, AingeruVega González, LuisUsing Carleman estimates, we give a lower bound for solutions to the discrete Schrödinger equation in both dynamic and stationary settings that allows us to prove uniqueness results, under some assumptions on the decay of the solutions.Partially supported by the projects MTM2011-24054, IT641-13. The first author is also supported by the predoctoral grant BFI-2011-11 of the Basque Government and the IdEx 2016 Postdoctoral Program, and the second author by ERCEA Advanced Grant 2014 669689 – HADE and MINECO Severo Ochoa excellence accreditation SEV-2013-0323.Elsevier202520252017info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10810/74879reponame:Addi. Archivo Digital para la Docencia y la Investigacióninstname:Universidad del País VascoIngléshttps://doi.org/10.1016/j.jfa.2017.03.006info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/3.0/es/© 2017 Elsevier under CC BY-NC-ND licenseoai:addi.ehu.eus:10810/748792026-06-18T09:23:17Z
dc.title.none.fl_str_mv Uniqueness properties for Discrete equations and Carleman estimates
title Uniqueness properties for Discrete equations and Carleman estimates
spellingShingle Uniqueness properties for Discrete equations and Carleman estimates
Fernández Bertolin, Aingeru
title_short Uniqueness properties for Discrete equations and Carleman estimates
title_full Uniqueness properties for Discrete equations and Carleman estimates
title_fullStr Uniqueness properties for Discrete equations and Carleman estimates
title_full_unstemmed Uniqueness properties for Discrete equations and Carleman estimates
title_sort Uniqueness properties for Discrete equations and Carleman estimates
dc.creator.none.fl_str_mv Fernández Bertolin, Aingeru
Vega González, Luis
author Fernández Bertolin, Aingeru
author_facet Fernández Bertolin, Aingeru
Vega González, Luis
author_role author
author2 Vega González, Luis
author2_role author
description Using Carleman estimates, we give a lower bound for solutions to the discrete Schrödinger equation in both dynamic and stationary settings that allows us to prove uniqueness results, under some assumptions on the decay of the solutions.
publishDate 2017
dc.date.none.fl_str_mv 2017
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10810/74879
url http://hdl.handle.net/10810/74879
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://doi.org/10.1016/j.jfa.2017.03.006
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
© 2017 Elsevier under CC BY-NC-ND license
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/3.0/es/
© 2017 Elsevier under CC BY-NC-ND license
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Addi. Archivo Digital para la Docencia y la Investigación
instname:Universidad del País Vasco
instname_str Universidad del País Vasco
reponame_str Addi. Archivo Digital para la Docencia y la Investigación
collection Addi. Archivo Digital para la Docencia y la Investigación
repository.name.fl_str_mv
repository.mail.fl_str_mv
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