Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 26, pp. 1-7.

Title: Global well-posedness for KdV in Sobolev spaces of negative index
        
Authors: J. Colliander (Univ. California, USA)
         M. Keel (Caltech,  California, USA) 
         G. Staffilani (Stanford Univ., California, USA)
         H. Takaoka (Hokkaido Univ., Japan)
         T. Tao (Univ. California, USA)
          
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 $H^s(\mathbb{R})$ for $-3/10<s$.
  
Submitted January 31, 2001. Published April 27, 2001.
Math Subject Classifications: 35Q53, 42B35, 37K10.
Key Words: Korteweg-de Vries equation; nonlinear dispersive equations;
           bilinear estimates.