Smoothing properties for the higher-order nonlinear Schrödinger equation with constant coefficients

Detalhes bibliográficos
Autor(a) principal: Alves, Margareth
Data de Publicação: 2009
Outros Autores: Sepúlveda, Mauricio, Vera, Octavio
Tipo de documento: Artigo
Idioma: eng
Título da fonte: LOCUS Repositório Institucional da UFV
Texto Completo: https://doi.org/10.1016/j.na.2008.11.010
http://www.locus.ufv.br/handle/123456789/22079
Resumo: We study local and global existence and smoothing properties for the initial value problem associated to a higher-order nonlinear Schrödinger equation with constant coefficients which appears as a model for propagation of pulse in an optical fiber.
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spelling Alves, MargarethSepúlveda, MauricioVera, Octavio2018-10-01T11:40:35Z2018-10-01T11:40:35Z2009-08-150362-546Xhttps://doi.org/10.1016/j.na.2008.11.010http://www.locus.ufv.br/handle/123456789/22079We study local and global existence and smoothing properties for the initial value problem associated to a higher-order nonlinear Schrödinger equation with constant coefficients which appears as a model for propagation of pulse in an optical fiber.engNonlinear Analysis: Theory, Methods & ApplicationsVolume 71, Issues 3–4, Pages 948-966, August 2009Elsevier B. V.info:eu-repo/semantics/openAccessEvolution equationsWeighted Sobolev spaceGain in regularitySmoothing properties for the higher-order nonlinear Schrödinger equation with constant coefficientsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfreponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFVORIGINALartigo.pdfartigo.pdfTexto completoapplication/pdf1110070https://locus.ufv.br//bitstream/123456789/22079/1/artigo.pdf390a84bdbfa3691973c02cdc38130e0bMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://locus.ufv.br//bitstream/123456789/22079/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILartigo.pdf.jpgartigo.pdf.jpgIM Thumbnailimage/jpeg5065https://locus.ufv.br//bitstream/123456789/22079/3/artigo.pdf.jpg6b373644ded6422440b2ff7d7d0bae08MD53123456789/220792018-10-01 23:00:44.531oai:locus.ufv.br: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Repositório InstitucionalPUBhttps://www.locus.ufv.br/oai/requestfabiojreis@ufv.bropendoar:21452018-10-02T02:00:44LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)false
dc.title.en.fl_str_mv Smoothing properties for the higher-order nonlinear Schrödinger equation with constant coefficients
title Smoothing properties for the higher-order nonlinear Schrödinger equation with constant coefficients
spellingShingle Smoothing properties for the higher-order nonlinear Schrödinger equation with constant coefficients
Alves, Margareth
Evolution equations
Weighted Sobolev space
Gain in regularity
title_short Smoothing properties for the higher-order nonlinear Schrödinger equation with constant coefficients
title_full Smoothing properties for the higher-order nonlinear Schrödinger equation with constant coefficients
title_fullStr Smoothing properties for the higher-order nonlinear Schrödinger equation with constant coefficients
title_full_unstemmed Smoothing properties for the higher-order nonlinear Schrödinger equation with constant coefficients
title_sort Smoothing properties for the higher-order nonlinear Schrödinger equation with constant coefficients
author Alves, Margareth
author_facet Alves, Margareth
Sepúlveda, Mauricio
Vera, Octavio
author_role author
author2 Sepúlveda, Mauricio
Vera, Octavio
author2_role author
author
dc.contributor.author.fl_str_mv Alves, Margareth
Sepúlveda, Mauricio
Vera, Octavio
dc.subject.pt-BR.fl_str_mv Evolution equations
Weighted Sobolev space
Gain in regularity
topic Evolution equations
Weighted Sobolev space
Gain in regularity
description We study local and global existence and smoothing properties for the initial value problem associated to a higher-order nonlinear Schrödinger equation with constant coefficients which appears as a model for propagation of pulse in an optical fiber.
publishDate 2009
dc.date.issued.fl_str_mv 2009-08-15
dc.date.accessioned.fl_str_mv 2018-10-01T11:40:35Z
dc.date.available.fl_str_mv 2018-10-01T11:40:35Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://doi.org/10.1016/j.na.2008.11.010
http://www.locus.ufv.br/handle/123456789/22079
dc.identifier.issn.none.fl_str_mv 0362-546X
identifier_str_mv 0362-546X
url https://doi.org/10.1016/j.na.2008.11.010
http://www.locus.ufv.br/handle/123456789/22079
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartofseries.pt-BR.fl_str_mv Volume 71, Issues 3–4, Pages 948-966, August 2009
dc.rights.driver.fl_str_mv Elsevier B. V.
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Elsevier B. V.
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Nonlinear Analysis: Theory, Methods & Applications
publisher.none.fl_str_mv Nonlinear Analysis: Theory, Methods & Applications
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instname:Universidade Federal de Viçosa (UFV)
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