Existence and scattering theory for Boussinesq type equations with singular data

dc.creatorFerreira, LCF
dc.date2011
dc.date36951
dc.date2014-07-30T17:31:59Z
dc.date2015-11-26T17:46:01Z
dc.date2014-07-30T17:31:59Z
dc.date2015-11-26T17:46:01Z
dc.date.accessioned2018-03-29T00:28:30Z
dc.date.available2018-03-29T00:28:30Z
dc.identifierJournal Of Differential Equations. Academic Press Inc Elsevier Science, v. 250, n. 5, n. 2372, n. 2388, 2011.
dc.identifier0022-0396
dc.identifierWOS:000286699700005
dc.identifier10.1016/j.jde.2010.11.013
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/66292
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/66292
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1288366
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionWe study the initial value problem for the generalized Boussinesq equation and prove existence of local and global solutions with singular initial data in weak-L(P) spaces. Our class of initial data for global existence is larger than that of Cho and Ozawa (2007) [7]. Long time behavior results are obtained and a scattering theory is proved in that framework. With more structure, we show Sobolev H(1) and Lorentz-type L((p,q)) regularity properties for the obtained solutions. The approach employed is unified for all dimensions n >= 1. (C) 2010 Elsevier Inc. All rights reserved.
dc.description250
dc.description5
dc.description2372
dc.description2388
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.languageen
dc.publisherAcademic Press Inc Elsevier Science
dc.publisherSan Diego
dc.publisherEUA
dc.relationJournal Of Differential Equations
dc.relationJ. Differ. Equ.
dc.rightsfechado
dc.rightshttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dc.sourceWeb of Science
dc.subjectGeneralized Boussinesq equation
dc.subjectGlobal and local solutions
dc.subjectAsymptotic behavior
dc.subjectLorentz spaces
dc.subjectNonlinear Schrodinger
dc.subjectGlobal Existence
dc.subjectLocal Solutions
dc.subjectSobolev Spaces
dc.titleExistence and scattering theory for Boussinesq type equations with singular data
dc.typeArtículos de revistas


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