Global well-posedness for KdV in Sobolev spaces of negative index
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 $-3/10<s$.
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2001-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2001/26/abstr.html |