Global well-posedness for KdV in Sobolev spaces of negative index
oleh: James Colliander, M. Keel, Gigliola Staffilani, Hideo Takaoka, T. Tao
| Format: | Article |
|---|---|
| Diterbitkan: | Texas State University 2001-04-01 |
Deskripsi
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 $-3/10<s$.