Document Type

Article

Publication Date

8-21-2013

Publication Title

Analysis and Partial Differential Equations

DOI

10.2140/apde.2013.6.859

ISSN

1948-206X

Abstract

In this paper, we consider a discrete restriction associated with KdV equations. Some new Strichartz estimates are obtained. We also establish the local well-posedness for the periodic generalized Korteweg-de Vries equation with nonlinear term $F(u)\p_x u$ provided F∈C5 and the initial data ϕ∈Hs with s>1/2.

Comments

This version of the paper was obtained from arXIV.org. In order for the work to be deposited in arXIV.org, the author must have permission to distribute the work or the work must be available under the Creative Commons Attribution licence, Creative Commons Attribution-Noncommercial-ShareAlike licence, or Create Commons Public Domain Declaration. The publisher's final edited version of this article is available at Analysis and Partial Differential Equations.

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