Article

Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text
Advertising


Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 30,00 € Taxes included to order
    Pages Iconography Videos Other
    4 0 0 0


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 

Abstract

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.
Résumé

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@@
EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Close
Article Outline
You can move this window by clicking on the headline
@@#110903@@