Global well-posedness for KdV in Sobolev Spaces of negative index

G. Staffilani; H. Takaoka; J. Colliander; M. Keel; T. Tao

arxiv: math/0101261 · v1 · submitted 2001-01-31 · 🧮 math.AP

Global well-posedness for KdV in Sobolev Spaces of negative index

J. Colliander , M. Keel , G. Staffilani , H. Takaoka , T. Tao This is my paper

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keywords dataglobalinitialwell-posednessequationgloballyindexkorteweg-devries

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The 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 H^s({\mathbb{R}), -3/10<s.

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Global well-posedness for KdV in Sobolev Spaces of negative index

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