On the well-posedness of higher order viscous Burgers' equations

dc.creatorCarvajal, X
dc.creatorPanthee, M
dc.date2014
dc.dateSEP 1
dc.date2014-08-01T18:38:14Z
dc.date2015-11-26T17:54:01Z
dc.date2014-08-01T18:38:14Z
dc.date2015-11-26T17:54:01Z
dc.date.accessioned2018-03-29T00:37:39Z
dc.date.available2018-03-29T00:37:39Z
dc.identifierJournal Of Mathematical Analysis And Applications. Academic Press Inc Elsevier Science, v. 417, n. 1, n. 1, n. 22, 2014.
dc.identifier0022-247X
dc.identifier1096-0813
dc.identifierWOS:000335488900001
dc.identifier10.1016/j.jmaa.2014.02.056
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/81724
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/81724
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1290683
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionWe consider higher order viscous Burgers' equations with generalized nonlinearity and study the associated initial value problems for given data in the L-2-based Sobolev spaces. We introduce appropriate time weighted spaces to derive multilinear estimates and use them in the contraction mapping principle argument to prove local well-posedness for data with Sobolev regularity below L-2. We also prove ill-posedness for this type of models and show that the local well-posedness results are sharp in some particular cases viz., when the orders of dissipation p, and nonlinearity k + 1, satisfy a relation p = 2k + 1. (C) 2014 Elsevier Inc. All rights reserved.
dc.description417
dc.description1
dc.description1
dc.description22
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionFAEPEX [1486/12]
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.descriptionFAPESP [2012/23054-6, 2012/20966-4]
dc.descriptionFAEPEX [1486/12]
dc.descriptionCNPq [479558/2013-2]
dc.languageen
dc.publisherAcademic Press Inc Elsevier Science
dc.publisherSan Diego
dc.publisherEUA
dc.relationJournal Of Mathematical Analysis And Applications
dc.relationJ. Math. Anal. Appl.
dc.rightsfechado
dc.rightshttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dc.sourceWeb of Science
dc.subjectInitial value problem
dc.subjectWell-posedness
dc.subjectKdV equation
dc.subjectDispersive-dissipative models
dc.subjectGeneralized Korteweg-devries
dc.subjectIll-posedness
dc.subjectLow Regularity
dc.subjectKdv Equation
dc.subjectBenjamin-ono
dc.subjectIssues
dc.titleOn the well-posedness of higher order viscous Burgers' equations
dc.typeArtículos de revistas


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