Colliander, JamesKeel, MarkusStaffilani, GigliolaTakaoka, HideoTao, Terence2020-02-202020-02-202001-04-27Colliander, 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. 1-7.1072-6691https://hdl.handle.net/10877/9323The 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.Text7 pages1 file (.pdf)enAttribution 4.0 InternationalKorteweg-de Vries equationNonlinear dispersive equationsBilinear estimatesArticle