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 Hˢ (ℝ) for -3/10 < s.
Citation
Colliander, J., Keel, M., Staffilani, G., Takaoka, H., & Tao, T. (2001). Global well-posedness for KdV in Sobolev spaces of negative index. Electronic Journal of Differential Equations, 2001(26), pp. 1-7.Rights License
This work is licensed under a Creative Commons Attribution 4.0 International License.
