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Global well-posedness for KdV in Sobolev spaces of negative index

Colliander, James and Keel, Markus and Staffilani, Gigliola and Takaoka, Hideo and Tao, Terence (2001) Global well-posedness for KdV in Sobolev spaces of negative index. Electronic Journal of Differential Equations, 2001 (26). pp. 1-7. ISSN 1072-6691.

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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.

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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.
Funding AgencyGrant Number
NSF Graduate Research FellowshipUNSPECIFIED
American Society for Engineering EducationUNSPECIFIED
American Mathematical SocietyUNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
Alfred P. Sloan FoundationUNSPECIFIED
Subject Keywords:Korteweg-de Vries equation, nonlinear dispersive equations, bilinear estimates
Issue or Number:26
Classification Code:Math Subject Classifications: 35Q53, 42B35, 37K10
Record Number:CaltechAUTHORS:COLejde01
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1228
Deposited By: Archive Administrator
Deposited On:05 Jan 2006
Last Modified:18 May 2020 15:50

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