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

Bibliographic Details
Main Author: Lakshtanov, Evgeny
Publication Date: 2020
Other Authors: Vainberg, Boris
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/29515
Summary: 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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T04:27:54Zoai:ria.ua.pt:10773/29515Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:09:17.384223Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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