Global well-posedness for two dimensional semilinear wave equations

We consider the initial value problem (IVP) for certain semilinear wave equations in two dimensions. It is shown that global well-posedness holds in spaces of lower regularity than that suggested by the energy space H1 x L2x. The technique to be used is adapted from a general scheme originally intro...

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Autores:
Fonseca, Germán E.
Tipo de recurso:
Article of journal
Fecha de publicación:
2000
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43750
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43750
http://bdigital.unal.edu.co/33848/
Palabra clave:
Nonlinear wave equations
global solutions
initial value problems
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_f98de55a8ea2738893729a444465861c
oai_identifier_str oai:repositorio.unal.edu.co:unal/43750
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repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Fonseca, Germán E.6f3a40c6-6e58-49d2-b293-13872d088cda3002019-06-28T12:24:14Z2019-06-28T12:24:14Z2000https://repositorio.unal.edu.co/handle/unal/43750http://bdigital.unal.edu.co/33848/We consider the initial value problem (IVP) for certain semilinear wave equations in two dimensions. It is shown that global well-posedness holds in spaces of lower regularity than that suggested by the energy space H1 x L2x. The technique to be used is adapted from a general scheme originally introduced by J. Bourgain to establish global well posedness of the cubic nonlinear Schrödinger equation.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33773Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 34, núm. 2 (2000); 91-101 0034-7426Fonseca, Germán E. (2000) Global well-posedness for two dimensional semilinear wave equations. Revista Colombiana de Matemáticas; Vol. 34, núm. 2 (2000); 91-101 0034-7426 .Global well-posedness for two dimensional semilinear wave equationsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTNonlinear wave equationsglobal solutionsinitial value problemsORIGINAL33773-127018-1-PB.pdfapplication/pdf3632854https://repositorio.unal.edu.co/bitstream/unal/43750/1/33773-127018-1-PB.pdfe1121445331f183fe5809cbb4bff641cMD51THUMBNAIL33773-127018-1-PB.pdf.jpg33773-127018-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5323https://repositorio.unal.edu.co/bitstream/unal/43750/2/33773-127018-1-PB.pdf.jpgcf410529c2312c1aca530eea1f7341b9MD52unal/43750oai:repositorio.unal.edu.co:unal/437502024-02-11 23:19:09.847Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Global well-posedness for two dimensional semilinear wave equations
title Global well-posedness for two dimensional semilinear wave equations
spellingShingle Global well-posedness for two dimensional semilinear wave equations
Nonlinear wave equations
global solutions
initial value problems
title_short Global well-posedness for two dimensional semilinear wave equations
title_full Global well-posedness for two dimensional semilinear wave equations
title_fullStr Global well-posedness for two dimensional semilinear wave equations
title_full_unstemmed Global well-posedness for two dimensional semilinear wave equations
title_sort Global well-posedness for two dimensional semilinear wave equations
dc.creator.fl_str_mv Fonseca, Germán E.
dc.contributor.author.spa.fl_str_mv Fonseca, Germán E.
dc.subject.proposal.spa.fl_str_mv Nonlinear wave equations
global solutions
initial value problems
topic Nonlinear wave equations
global solutions
initial value problems
description We consider the initial value problem (IVP) for certain semilinear wave equations in two dimensions. It is shown that global well-posedness holds in spaces of lower regularity than that suggested by the energy space H1 x L2x. The technique to be used is adapted from a general scheme originally introduced by J. Bourgain to establish global well posedness of the cubic nonlinear Schrödinger equation.
publishDate 2000
dc.date.issued.spa.fl_str_mv 2000
dc.date.accessioned.spa.fl_str_mv 2019-06-28T12:24:14Z
dc.date.available.spa.fl_str_mv 2019-06-28T12:24:14Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/33848/
url https://repositorio.unal.edu.co/handle/unal/43750
http://bdigital.unal.edu.co/33848/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33773
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 34, núm. 2 (2000); 91-101 0034-7426
dc.relation.references.spa.fl_str_mv Fonseca, Germán E. (2000) Global well-posedness for two dimensional semilinear wave equations. Revista Colombiana de Matemáticas; Vol. 34, núm. 2 (2000); 91-101 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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