A quasilinearization method for elliptic problems with a nonlinear boundary condition

Autores
Amster, Pablo Gustavo; de Napoli, Pablo Luis
Año de publicación
2007
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study a nonlinear elliptic second order problem with a nonlinear boundary condition. Assuming the existence of an ordered couple of a supersolution and a subsolution, we develop a quasilinearization method in order to construct an iterative scheme that converges to a solution. Furthermore, under an extra assumption we prove that the convergence is quadratic.
Fil: Amster, Pablo Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: de Napoli, Pablo Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Materia
ELLIPTIC PDES
NONLINEAR BOUNDARY CONDITIONS
QUASILINEARIZATION METHOD
UPPER AND LOWER SOLUTIONS
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:11336/273462
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A quasilinearization method for elliptic problems with a nonlinear boundary conditionAmster, Pablo Gustavode Napoli, Pablo LuisELLIPTIC PDESNONLINEAR BOUNDARY CONDITIONSQUASILINEARIZATION METHODUPPER AND LOWER SOLUTIONShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We study a nonlinear elliptic second order problem with a nonlinear boundary condition. Assuming the existence of an ordered couple of a supersolution and a subsolution, we develop a quasilinearization method in order to construct an iterative scheme that converges to a solution. Furthermore, under an extra assumption we prove that the convergence is quadratic.Fil: Amster, Pablo Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: de Napoli, Pablo Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaPergamon-Elsevier Science Ltd2007-05info: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/11336/273462Amster, Pablo Gustavo; de Napoli, Pablo Luis; A quasilinearization method for elliptic problems with a nonlinear boundary condition; Pergamon-Elsevier Science Ltd; Journal Of Nonlinear Analysis; 66; 10; 5-2007; 2255-22630362-546XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.na.2006.03.016info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0362546X06001696info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:32:04Zoai:ri.conicet.gov.ar:11336/273462instacron: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:34982025-10-22 11:32:05.04CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A quasilinearization method for elliptic problems with a nonlinear boundary condition
title A quasilinearization method for elliptic problems with a nonlinear boundary condition
spellingShingle A quasilinearization method for elliptic problems with a nonlinear boundary condition
Amster, Pablo Gustavo
ELLIPTIC PDES
NONLINEAR BOUNDARY CONDITIONS
QUASILINEARIZATION METHOD
UPPER AND LOWER SOLUTIONS
title_short A quasilinearization method for elliptic problems with a nonlinear boundary condition
title_full A quasilinearization method for elliptic problems with a nonlinear boundary condition
title_fullStr A quasilinearization method for elliptic problems with a nonlinear boundary condition
title_full_unstemmed A quasilinearization method for elliptic problems with a nonlinear boundary condition
title_sort A quasilinearization method for elliptic problems with a nonlinear boundary condition
dc.creator.none.fl_str_mv Amster, Pablo Gustavo
de Napoli, Pablo Luis
author Amster, Pablo Gustavo
author_facet Amster, Pablo Gustavo
de Napoli, Pablo Luis
author_role author
author2 de Napoli, Pablo Luis
author2_role author
dc.subject.none.fl_str_mv ELLIPTIC PDES
NONLINEAR BOUNDARY CONDITIONS
QUASILINEARIZATION METHOD
UPPER AND LOWER SOLUTIONS
topic ELLIPTIC PDES
NONLINEAR BOUNDARY CONDITIONS
QUASILINEARIZATION METHOD
UPPER AND LOWER SOLUTIONS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study a nonlinear elliptic second order problem with a nonlinear boundary condition. Assuming the existence of an ordered couple of a supersolution and a subsolution, we develop a quasilinearization method in order to construct an iterative scheme that converges to a solution. Furthermore, under an extra assumption we prove that the convergence is quadratic.
Fil: Amster, Pablo Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: de Napoli, Pablo Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
description We study a nonlinear elliptic second order problem with a nonlinear boundary condition. Assuming the existence of an ordered couple of a supersolution and a subsolution, we develop a quasilinearization method in order to construct an iterative scheme that converges to a solution. Furthermore, under an extra assumption we prove that the convergence is quadratic.
publishDate 2007
dc.date.none.fl_str_mv 2007-05
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/11336/273462
Amster, Pablo Gustavo; de Napoli, Pablo Luis; A quasilinearization method for elliptic problems with a nonlinear boundary condition; Pergamon-Elsevier Science Ltd; Journal Of Nonlinear Analysis; 66; 10; 5-2007; 2255-2263
0362-546X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/273462
identifier_str_mv Amster, Pablo Gustavo; de Napoli, Pablo Luis; A quasilinearization method for elliptic problems with a nonlinear boundary condition; Pergamon-Elsevier Science Ltd; Journal Of Nonlinear Analysis; 66; 10; 5-2007; 2255-2263
0362-546X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.na.2006.03.016
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0362546X06001696
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 Pergamon-Elsevier Science Ltd
publisher.none.fl_str_mv Pergamon-Elsevier Science Ltd
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_ 1846781930377314304
score 12.982451

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