On Well-posedness Of The Third-order Nonlinear Schrodinger Equation With Time-dependent Coefficients

dc.creatorCarvajal
dc.creatorXavier; Panthee
dc.creatorMahendra; Scialom
dc.creatorMarcia
dc.date2015-AUG
dc.date2016-06-07T13:34:11Z
dc.date2016-06-07T13:34:11Z
dc.date.accessioned2018-03-29T01:49:53Z
dc.date.available2018-03-29T01:49:53Z
dc.identifier
dc.identifierOn Well-posedness Of The Third-order Nonlinear Schrodinger Equation With Time-dependent Coefficients. World Scientific Publ Co Pte Ltd, v. 17, p. AUG-2015.
dc.identifier0219-1997
dc.identifierWOS:000356791900003
dc.identifier10.1142/S021919971450031X
dc.identifierhttp://www.worldscientific.com/doi/10.1142/S021919971450031X
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/243865
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1307563
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.descriptionWe consider the Cauchy problem associated to the third-order nonlinear Schrodinger equation with time-dependent coefficients. Depending on the nature of the coefficients, we prove local as well as global well-posedness results for given data in L-2-based Sobolev spaces. We also address the scaling limit to fast dispersion management and prove that it converges in H-1 to the solution of the averaged equation.
dc.description17
dc.description4
dc.description
dc.description
dc.description
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.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.descriptionFAPESP [2012/23054-6, 2012/20966-4]
dc.descriptionCNPq [479558/2013-2]
dc.description
dc.description
dc.description
dc.languageen
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD
dc.publisher
dc.publisherSINGAPORE
dc.relationCOMMUNICATIONS IN CONTEMPORARY MATHEMATICS
dc.rightsfechado
dc.sourceWOS
dc.subjectKorteweg-devries Equation
dc.subjectOscillating Nonlinearity
dc.subjectPeriodic Dispersion
dc.subjectCauchy-problem
dc.titleOn Well-posedness Of The Third-order Nonlinear Schrodinger Equation With Time-dependent Coefficients
dc.typeArtículos de revistas


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