Global Well-Posedness for KdV in Sobolev Spaces of Negative Index

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dc.contributor.authorColliander, James
dc.contributor.authorKeel, Markus
dc.contributor.authorStaffilani, Gigliola
dc.contributor.authorTakaoka, Hideo
dc.contributor.authorTao, Terence
dc.date.accessioned2020-02-20T18:38:21Z
dc.date.available2020-02-20T18:38:21Z
dc.date.issued2001-04-27
dc.description.abstractThe initial value problem for the Korteweg-deVries equation on the line is shown to be globally well-posed for rough data. In particular, we show global well-posedness for initial data in Hˢ (ℝ) for -3/10 < s.
dc.description.departmentMathematics
dc.formatText
dc.format.extent7 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationColliander, J., Keel, M., Staffilani, G., Takaoka, H., & Tao, T. (2001). Global well-posedness for KdV in Sobolev spaces of negative index. <i>Electronic Journal of Differential Equations, 2001</i>(26), pp. 1-7.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/9323
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, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectKorteweg-de Vries equation
dc.subjectNonlinear dispersive equations
dc.subjectBilinear estimates
dc.titleGlobal Well-Posedness for KdV in Sobolev Spaces of Negative Index
dc.typeArticle

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