Published April 27, 2001
| Published
Journal Article
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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 $H^s(\mathbb{R})$ for -3/10 < s.
Additional Information
© 2001 Southwest Texas State University. Submitted January 31, 2001. Published April 27, 2001. J.E.C. is supported in part by an N.S.F. Postdoctoral Research Fellowship. M.K. is supported in part by N.S.F. Grant DMS 9801558. G.S. is supported in part by N.S.F. Grant DMS 9800879 and by a Terman Award. T.T. is a Clay Prize Fellow and is supported in part by grants from the Packard and Sloan Foundations.Attached Files
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Additional details
- Eprint ID
- 1228
- Resolver ID
- CaltechAUTHORS:COLejde01
- NSF Graduate Research Fellowship
- DMS-9801558
- NSF
- DMS-9800879
- NSF
- American Society for Engineering Education
- American Mathematical Society
- David and Lucile Packard Foundation
- Alfred P. Sloan Foundation
- Created
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2006-01-05Created from EPrint's datestamp field
- Updated
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2020-05-18Created from EPrint's last_modified field