Refined asymptotics for eigenvalues on domains of infinite measure

Autores
Bonder, J.F.; Pinasco, J.P.; Salort, A.M.
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work we study the asymptotic distribution of eigenvalues in one-dimensional open sets. The method of proof is rather elementary, based on the Dirichlet lattice points problem, which enable us to consider sets with infinite measure. Also, we derive some estimates for the spectral counting function of the Laplace operator on unbounded two-dimensional domains. © 2010 Elsevier Inc.
Fil:Pinasco, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Salort, A.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fuente
J. Math. Anal. Appl. 2010;371(1):41-56
Materia
Eigenvalues
Lattice points
P-Laplace operator
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_0022247X_v371_n1_p41_Bonder
Acceder
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network_acronym_str BDUBAFCEN
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network_name_str Biblioteca Digital (UBA-FCEN)
spelling Refined asymptotics for eigenvalues on domains of infinite measureBonder, J.F.Pinasco, J.P.Salort, A.M.EigenvaluesLattice pointsP-Laplace operatorIn this work we study the asymptotic distribution of eigenvalues in one-dimensional open sets. The method of proof is rather elementary, based on the Dirichlet lattice points problem, which enable us to consider sets with infinite measure. Also, we derive some estimates for the spectral counting function of the Laplace operator on unbounded two-dimensional domains. © 2010 Elsevier Inc.Fil:Pinasco, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.Fil:Salort, A.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.2010info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_0022247X_v371_n1_p41_BonderJ. Math. Anal. Appl. 2010;371(1):41-56reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-10-23T11:18:25Zpaperaa:paper_0022247X_v371_n1_p41_BonderInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-10-23 11:18:26.921Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv Refined asymptotics for eigenvalues on domains of infinite measure
title Refined asymptotics for eigenvalues on domains of infinite measure
spellingShingle Refined asymptotics for eigenvalues on domains of infinite measure
Bonder, J.F.
Eigenvalues
Lattice points
P-Laplace operator
title_short Refined asymptotics for eigenvalues on domains of infinite measure
title_full Refined asymptotics for eigenvalues on domains of infinite measure
title_fullStr Refined asymptotics for eigenvalues on domains of infinite measure
title_full_unstemmed Refined asymptotics for eigenvalues on domains of infinite measure
title_sort Refined asymptotics for eigenvalues on domains of infinite measure
dc.creator.none.fl_str_mv Bonder, J.F.
Pinasco, J.P.
Salort, A.M.
author Bonder, J.F.
author_facet Bonder, J.F.
Pinasco, J.P.
Salort, A.M.
author_role author
author2 Pinasco, J.P.
Salort, A.M.
author2_role author
author
dc.subject.none.fl_str_mv Eigenvalues
Lattice points
P-Laplace operator
topic Eigenvalues
Lattice points
P-Laplace operator
dc.description.none.fl_txt_mv In this work we study the asymptotic distribution of eigenvalues in one-dimensional open sets. The method of proof is rather elementary, based on the Dirichlet lattice points problem, which enable us to consider sets with infinite measure. Also, we derive some estimates for the spectral counting function of the Laplace operator on unbounded two-dimensional domains. © 2010 Elsevier Inc.
Fil:Pinasco, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Salort, A.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
description In this work we study the asymptotic distribution of eigenvalues in one-dimensional open sets. The method of proof is rather elementary, based on the Dirichlet lattice points problem, which enable us to consider sets with infinite measure. Also, we derive some estimates for the spectral counting function of the Laplace operator on unbounded two-dimensional domains. © 2010 Elsevier Inc.
publishDate 2010
dc.date.none.fl_str_mv 2010
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/20.500.12110/paper_0022247X_v371_n1_p41_Bonder
url http://hdl.handle.net/20.500.12110/paper_0022247X_v371_n1_p41_Bonder
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv J. Math. Anal. Appl. 2010;371(1):41-56
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
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score 12.982451

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