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

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

2001-01-31

arxiv.org/abs/math/0101261v1

Mathematics

Analysis of PDEs

5 pages. Electronic Journal of Differential equations (submitted)

Scientific paper

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

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