Nonlinear dispersive models, well-posedness and unique continuation property

Detalhes bibliográficos
Autor(a) principal: Panthee, Mahendra Prasad
Data de Publicação: 2011
Tipo de documento: Livro
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/16507
Resumo: The local and global well-posedness issues of the Cauchy problem associated to the coupled system of dispersive equations with low regularity data are addressed. Fourier transform restriction norm space techniques and the recently introduced high-low frequency splitting and the I-method are the main tools to achieve the objectives. Also, a complex analysis technique is used to prove unique continuation property for some bi-dimensional versions.
id RCAP_76cc2a543f73c218382238591c1b4042
oai_identifier_str oai:repositorium.sdum.uminho.pt:1822/16507
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Nonlinear dispersive models, well-posedness and unique continuation propertyDispersive equationsCauchy problemWell-posednessUnique continuation propertyThe local and global well-posedness issues of the Cauchy problem associated to the coupled system of dispersive equations with low regularity data are addressed. Fourier transform restriction norm space techniques and the recently introduced high-low frequency splitting and the I-method are the main tools to achieve the objectives. Also, a complex analysis technique is used to prove unique continuation property for some bi-dimensional versions.Fundação para a Ciência e a Tecnologia (FCT)VDM VerlagUniversidade do MinhoPanthee, Mahendra Prasad20112011-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookapplication/pdfhttp://hdl.handle.net/1822/16507eng978-3-639-36382-1www.lap-publishing.cominfo: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:RCAAP2023-07-21T12:47:00Zoai:repositorium.sdum.uminho.pt:1822/16507Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:45:03.767679Repositório 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 Nonlinear dispersive models, well-posedness and unique continuation property
title Nonlinear dispersive models, well-posedness and unique continuation property
spellingShingle Nonlinear dispersive models, well-posedness and unique continuation property
Panthee, Mahendra Prasad
Dispersive equations
Cauchy problem
Well-posedness
Unique continuation property
title_short Nonlinear dispersive models, well-posedness and unique continuation property
title_full Nonlinear dispersive models, well-posedness and unique continuation property
title_fullStr Nonlinear dispersive models, well-posedness and unique continuation property
title_full_unstemmed Nonlinear dispersive models, well-posedness and unique continuation property
title_sort Nonlinear dispersive models, well-posedness and unique continuation property
author Panthee, Mahendra Prasad
author_facet Panthee, Mahendra Prasad
author_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Panthee, Mahendra Prasad
dc.subject.por.fl_str_mv Dispersive equations
Cauchy problem
Well-posedness
Unique continuation property
topic Dispersive equations
Cauchy problem
Well-posedness
Unique continuation property
description The local and global well-posedness issues of the Cauchy problem associated to the coupled system of dispersive equations with low regularity data are addressed. Fourier transform restriction norm space techniques and the recently introduced high-low frequency splitting and the I-method are the main tools to achieve the objectives. Also, a complex analysis technique is used to prove unique continuation property for some bi-dimensional versions.
publishDate 2011
dc.date.none.fl_str_mv 2011
2011-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/book
format book
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/16507
url http://hdl.handle.net/1822/16507
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 978-3-639-36382-1
www.lap-publishing.com
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 VDM Verlag
publisher.none.fl_str_mv VDM Verlag
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
instacron_str RCAAP
institution RCAAP
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
_version_ 1799133014062530560

Registros relacionados