Geodesic
Global well-posedness for KdV in Sobolev spaces of negative index
Electronic Journal of Differential Equations, Tome 2001 (2001).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35Q53, 42B35, 37K10
Keywords: Korteweg-de Vries equation, nonlinear dispersive equations, bilinear estimates 
@article{EJDE_2001__2001__a24,
     author = {Colliander, James E. and Keel, Markus and Staffilani, Gigliola and Takaoka, Hideo and Tao, Terence C.},
     title = {Global well-posedness for {KdV} in {Sobolev} spaces of negative index},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2001},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a24/}
}
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%A Tao, Terence C.
%T Global well-posedness for KdV in Sobolev spaces of negative index
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%D 2001
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Colliander, James E.; Keel, Markus; Staffilani, Gigliola; Takaoka, Hideo; Tao, Terence C. Global well-posedness for KdV in Sobolev spaces of negative index. Electronic Journal of Differential Equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a24/