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

2001/01/31 by J. Colliander, Colliander, J., M. Keel +7
Mathematics · #35Q53 #37K10 #42B35 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35Q53 #msc:37K10 #msc:42B35

paper · pdf · doi:10.48550/arxiv.math/0101261

5 pages. Electronic Journal of Differential equations (submitted)

arxiv created 2001/01/31 · arxiv updated 2009/11/30

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(ℝ), -3/10<s.

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