Global Well-Posedness for KdV in Sobolev Spaces of Negative Index
Date
2001-04-27
Authors
Colliander, James
Keel, Markus
Staffilani, Gigliola
Takaoka, Hideo
Tao, Terence
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Korteweg-de Vries equation, Nonlinear dispersive equations, Bilinear estimates
Citation
Colliander, J., Keel, M., Staffilani, G., Takaoka, H., & Tao, T. (2001). Global well-posedness for KdV in Sobolev spaces of negative index. <i>Electronic Journal of Differential Equations, 2001</i>(26), pp. 1-7.
Rights
Attribution 4.0 International