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

Abstract

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.

arXiv comment5 pages. Electronic Journal of Differential equations (submitted)

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