Local well-posedness for a higher order nonlinear Schrodinger equation in Sobolev spaces of negative indices

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dc.contributor.authorCarvajal, Xavier
dc.date.accessioned2021-04-05T18:17:25Z
dc.date.available2021-04-05T18:17:25Z
dc.date.issued2004-01-23
dc.description.abstractWe prove that the initial value problem associated with ∂tu + iα∂2xu + β∂3xu + iγ|u|2u = 0, x, t ∈ ℝ, is locally well-posed in Hs for s > -1/4.
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCarvajal, X. (2004). Local well-posedness for a higher order nonlinear Schrodinger equation in Sobolev spaces of negative indices. <i>Electronic Journal of Differential Equations, 2004</i>(13), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13332
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectSchrodinger equation
dc.subjectKorteweg-de Vries equation
dc.subjectTrilinear estimate
dc.subjectBourgain spaces
dc.titleLocal well-posedness for a higher order nonlinear Schrodinger equation in Sobolev spaces of negative indices
dc.typeArticle

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