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Comptes Rendus Mathématique
Volume 346, n° 15-16
pages 845-848 (août 2008)
Doi : 10.1016/j.crma.2008.05.003
Received : 16 Mars 2008 ;  accepted : 6 May 2008
Scaling-sharp dispersive estimates for the Korteweg–de Vries group
Estimées dispersives invariantes dʼéchelle pour le groupe de Korteweg–de Vries

Raphaël Côte a , Luis Vega b
a Centre de mathématiques Laurent-Schwartz, École polytechnique, 91128 Palaiseau cedex, France 
b Departamento de Matemáticas, Universidad del País Vasco, Aptdo. 644, 48080 Bilbao, Spain 


We prove weighted estimates on the linear KdV group, which are scaling sharp. This kind of estimates is in the spirit of that used to prove small data scattering for the generalized KdV equations. To cite this article: R. Côte, L. Vega, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

The full text of this article is available in PDF format.

Nous prouvons des inégalités à poids pour le groupe linéaire de KdV, qui sont optimales vis-à-vis du changement dʼéchelle. Ce type dʼinégalité suit lʼesprit de celles utilisées pour montrer que les solutions des équations de KdV généralisées dont les données sont petites dispersent linéairement. Pour citer cet article : R. Côte, L. Vega, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

The full text of this article is available in PDF format.

© 2008  Académie des sciences@@#104156@@
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