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arXiv:math/0101261 [math.AP]AbstractReferencesReviewsResources

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

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

Published 2001-01-31Version 1

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.

Comments: 5 pages. Electronic Journal of Differential equations (submitted)
Categories: math.AP
Subjects: 35Q53, 42B35, 37K10
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