Global controllability of 1D Schroedinger-Poisson equation

Autores
de Leo, Mariano Fernando; Sanchez Fernandez de la Vega, Constanza Mariel; Rial, Diego Fernando
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper is concerned with both the local and global internal controllability of the 1D Schroedinger-Poisson equation i u_t =  -u_xx +V (u) u; which arises in quantum semiconductor models. Here V (u) is a Hartree-type nonlinearity stemming from the coupling with the 1D Poisson equation, which includes the so-called doping prole or impurities. More precisely, it is shown that for both attractive and repulsive self-consistent potentials -depending on the balance between the total charge and the impurities- this problem is globally internal controllable in a suitable Sobolev space.
Fil: de Leo, Mariano Fernando. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Sanchez Fernandez de la Vega, Constanza Mariel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Rial, Diego Fernando. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Materia
Nonlinear Schroedinger-Poisson
Hartree potential
doping profile
internal controllability
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/10689
Acceder
id CONICETDig_c8a38a5b8b1775c6ab9fdf22f88cb613
oai_identifier_str oai:ri.conicet.gov.ar:11336/10689
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Global controllability of 1D Schroedinger-Poisson equationde Leo, Mariano FernandoSanchez Fernandez de la Vega, Constanza MarielRial, Diego FernandoNonlinear Schroedinger-PoissonHartree potentialdoping profileinternal controllabilityhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1This paper is concerned with both the local and global internal controllability of the 1D Schroedinger-Poisson equation i u_t =  -u_xx +V (u) u; which arises in quantum semiconductor models. Here V (u) is a Hartree-type nonlinearity stemming from the coupling with the 1D Poisson equation, which includes the so-called doping prole or impurities. More precisely, it is shown that for both attractive and repulsive self-consistent potentials -depending on the balance between the total charge and the impurities- this problem is globally internal controllable in a suitable Sobolev space.Fil: de Leo, Mariano Fernando. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Sanchez Fernandez de la Vega, Constanza Mariel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Rial, Diego Fernando. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaUnión Matemática Argentina2013-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/10689de Leo, Mariano Fernando; Sanchez Fernandez de la Vega, Constanza Mariel; Rial, Diego Fernando; Global controllability of 1D Schroedinger-Poisson equation; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 54; 6-2013; 43-540041-69321669-9637enginfo:eu-repo/semantics/altIdentifier/url/http://inmabb.criba.edu.ar/revuma/pdf/v54n1/v54n1a05.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:42:17Zoai:ri.conicet.gov.ar:11336/10689instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:42:17.422CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Global controllability of 1D Schroedinger-Poisson equation
title Global controllability of 1D Schroedinger-Poisson equation
spellingShingle Global controllability of 1D Schroedinger-Poisson equation
de Leo, Mariano Fernando
Nonlinear Schroedinger-Poisson
Hartree potential
doping profile
internal controllability
title_short Global controllability of 1D Schroedinger-Poisson equation
title_full Global controllability of 1D Schroedinger-Poisson equation
title_fullStr Global controllability of 1D Schroedinger-Poisson equation
title_full_unstemmed Global controllability of 1D Schroedinger-Poisson equation
title_sort Global controllability of 1D Schroedinger-Poisson equation
dc.creator.none.fl_str_mv de Leo, Mariano Fernando
Sanchez Fernandez de la Vega, Constanza Mariel
Rial, Diego Fernando
author de Leo, Mariano Fernando
author_facet de Leo, Mariano Fernando
Sanchez Fernandez de la Vega, Constanza Mariel
Rial, Diego Fernando
author_role author
author2 Sanchez Fernandez de la Vega, Constanza Mariel
Rial, Diego Fernando
author2_role author
author
dc.subject.none.fl_str_mv Nonlinear Schroedinger-Poisson
Hartree potential
doping profile
internal controllability
topic Nonlinear Schroedinger-Poisson
Hartree potential
doping profile
internal controllability
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv This paper is concerned with both the local and global internal controllability of the 1D Schroedinger-Poisson equation i u_t =  -u_xx +V (u) u; which arises in quantum semiconductor models. Here V (u) is a Hartree-type nonlinearity stemming from the coupling with the 1D Poisson equation, which includes the so-called doping prole or impurities. More precisely, it is shown that for both attractive and repulsive self-consistent potentials -depending on the balance between the total charge and the impurities- this problem is globally internal controllable in a suitable Sobolev space.
Fil: de Leo, Mariano Fernando. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Sanchez Fernandez de la Vega, Constanza Mariel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Rial, Diego Fernando. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
description This paper is concerned with both the local and global internal controllability of the 1D Schroedinger-Poisson equation i u_t =  -u_xx +V (u) u; which arises in quantum semiconductor models. Here V (u) is a Hartree-type nonlinearity stemming from the coupling with the 1D Poisson equation, which includes the so-called doping prole or impurities. More precisely, it is shown that for both attractive and repulsive self-consistent potentials -depending on the balance between the total charge and the impurities- this problem is globally internal controllable in a suitable Sobolev space.
publishDate 2013
dc.date.none.fl_str_mv 2013-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/10689
de Leo, Mariano Fernando; Sanchez Fernandez de la Vega, Constanza Mariel; Rial, Diego Fernando; Global controllability of 1D Schroedinger-Poisson equation; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 54; 6-2013; 43-54
0041-6932
1669-9637
url http://hdl.handle.net/11336/10689
identifier_str_mv de Leo, Mariano Fernando; Sanchez Fernandez de la Vega, Constanza Mariel; Rial, Diego Fernando; Global controllability of 1D Schroedinger-Poisson equation; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 54; 6-2013; 43-54
0041-6932
1669-9637
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://inmabb.criba.edu.ar/revuma/pdf/v54n1/v54n1a05.pdf
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Unión Matemática Argentina
publisher.none.fl_str_mv Unión Matemática Argentina
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844614455720148992
score 13.069144

Publicaciones similares