Global solution of the initial value problem for the focusing Davey-Stewartson II system

Detalhes bibliográficos
Autor(a) principal: Lakshtanov, Evgeny
Data de Publicação: 2020
Outros Autores: Vainberg, Boris
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/29515
Resumo: We consider the two dimensional focusing Davey-Stewartson II system and construct the global solution of the Cauchy problem for a dense in L 2 (C) set of initial data. We do not assume that the initial data is small. So, the solutions may have singularities. We show that the blow-up may occur only on a real analytic variety and the variety is bounded in each strip t ≤ T.
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spelling Global solution of the initial value problem for the focusing Davey-Stewartson II systemDavey-Stewartson∂-methodDirac equationExceptional pointInverse problemWe consider the two dimensional focusing Davey-Stewartson II system and construct the global solution of the Cauchy problem for a dense in L 2 (C) set of initial data. We do not assume that the initial data is small. So, the solutions may have singularities. We show that the blow-up may occur only on a real analytic variety and the variety is bounded in each strip t ≤ T.Yokohama Publishers2020-10-20T17:56:48Z2020-03-02T00:00:00Z2020-03-02info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/29515eng2189-3756Lakshtanov, EvgenyVainberg, Borisinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:57:01Zoai:ria.ua.pt:10773/29515Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:01:48.469937Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Global solution of the initial value problem for the focusing Davey-Stewartson II system
title Global solution of the initial value problem for the focusing Davey-Stewartson II system
spellingShingle Global solution of the initial value problem for the focusing Davey-Stewartson II system
Lakshtanov, Evgeny
Davey-Stewartson
∂-method
Dirac equation
Exceptional point
Inverse problem
title_short Global solution of the initial value problem for the focusing Davey-Stewartson II system
title_full Global solution of the initial value problem for the focusing Davey-Stewartson II system
title_fullStr Global solution of the initial value problem for the focusing Davey-Stewartson II system
title_full_unstemmed Global solution of the initial value problem for the focusing Davey-Stewartson II system
title_sort Global solution of the initial value problem for the focusing Davey-Stewartson II system
author Lakshtanov, Evgeny
author_facet Lakshtanov, Evgeny
Vainberg, Boris
author_role author
author2 Vainberg, Boris
author2_role author
dc.contributor.author.fl_str_mv Lakshtanov, Evgeny
Vainberg, Boris
dc.subject.por.fl_str_mv Davey-Stewartson
∂-method
Dirac equation
Exceptional point
Inverse problem
topic Davey-Stewartson
∂-method
Dirac equation
Exceptional point
Inverse problem
description We consider the two dimensional focusing Davey-Stewartson II system and construct the global solution of the Cauchy problem for a dense in L 2 (C) set of initial data. We do not assume that the initial data is small. So, the solutions may have singularities. We show that the blow-up may occur only on a real analytic variety and the variety is bounded in each strip t ≤ T.
publishDate 2020
dc.date.none.fl_str_mv 2020-10-20T17:56:48Z
2020-03-02T00:00:00Z
2020-03-02
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 http://hdl.handle.net/10773/29515
url http://hdl.handle.net/10773/29515
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2189-3756
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Yokohama Publishers
publisher.none.fl_str_mv Yokohama Publishers
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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