Global well-posedness for a coupled modified kdv system

Detalhes bibliográficos
Autor(a) principal: Corcho, Adan
Data de Publicação: 2012
Outros Autores: Panthee, Mahendra Prasad
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/16884
Resumo: We prove the sharp global well-posedness result for the initial value problem (IVP) associated to the system of the modi ed Korteweg-de Vries (mKdV) equation. For the single mKdV equation such result has been obtained by using Mirura's Transform that takes the KdV equation to the mKdV equation [8]. We do not know the existence of Miura's Transform that takes a KdV system to the system we are considering. To overcome this di culty we developed a new proof of the sharp global well-posedness result for the single mKdV equation without using Miura's Transform. We could successfully apply this technique in the case of the mKdV system to obtain the desired result.
id RCAP_ed0d100d6c777080c8d231df7c78030e
oai_identifier_str oai:repositorium.sdum.uminho.pt:1822/16884
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Global well-posedness for a coupled modified kdv systemKorteweg-de vries equationCauchy problemLocal and global well-posedness.Science & TechnologyWe prove the sharp global well-posedness result for the initial value problem (IVP) associated to the system of the modi ed Korteweg-de Vries (mKdV) equation. For the single mKdV equation such result has been obtained by using Mirura's Transform that takes the KdV equation to the mKdV equation [8]. We do not know the existence of Miura's Transform that takes a KdV system to the system we are considering. To overcome this di culty we developed a new proof of the sharp global well-posedness result for the single mKdV equation without using Miura's Transform. We could successfully apply this technique in the case of the mKdV system to obtain the desired result.Fundação para a Ciência e a Tecnologia (FCT)SpringerUniversidade do MinhoCorcho, AdanPanthee, Mahendra Prasad20122012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/16884eng1678-754410.1007/s00574-012-0004-4http://www.springer.com/mathematics/journal/574info: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:RCAAP2023-07-21T12:33:53Zoai:repositorium.sdum.uminho.pt:1822/16884Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:29:28.854814Repositório 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 well-posedness for a coupled modified kdv system
title Global well-posedness for a coupled modified kdv system
spellingShingle Global well-posedness for a coupled modified kdv system
Corcho, Adan
Korteweg-de vries equation
Cauchy problem
Local and global well-posedness.
Science & Technology
title_short Global well-posedness for a coupled modified kdv system
title_full Global well-posedness for a coupled modified kdv system
title_fullStr Global well-posedness for a coupled modified kdv system
title_full_unstemmed Global well-posedness for a coupled modified kdv system
title_sort Global well-posedness for a coupled modified kdv system
author Corcho, Adan
author_facet Corcho, Adan
Panthee, Mahendra Prasad
author_role author
author2 Panthee, Mahendra Prasad
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Corcho, Adan
Panthee, Mahendra Prasad
dc.subject.por.fl_str_mv Korteweg-de vries equation
Cauchy problem
Local and global well-posedness.
Science & Technology
topic Korteweg-de vries equation
Cauchy problem
Local and global well-posedness.
Science & Technology
description We prove the sharp global well-posedness result for the initial value problem (IVP) associated to the system of the modi ed Korteweg-de Vries (mKdV) equation. For the single mKdV equation such result has been obtained by using Mirura's Transform that takes the KdV equation to the mKdV equation [8]. We do not know the existence of Miura's Transform that takes a KdV system to the system we are considering. To overcome this di culty we developed a new proof of the sharp global well-posedness result for the single mKdV equation without using Miura's Transform. We could successfully apply this technique in the case of the mKdV system to obtain the desired result.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/16884
url http://hdl.handle.net/1822/16884
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1678-7544
10.1007/s00574-012-0004-4
http://www.springer.com/mathematics/journal/574
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 Springer
publisher.none.fl_str_mv Springer
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_ 1799132795255128064

Registros relacionados