Discrete Fourier restriction associated with KdV equations

Yichen Hu, Xiao-Chun Li

Type: Article

Publication Date: 2013-08-21

Citations: 22

DOI: https://doi.org/10.2140/apde.2013.6.859

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 Kortewegde Vries equation with nonlinear term F(u)∂ x u provided F ∈ C 5 and the initial data φ ∈ H s with s > 1/2.

Locations

Analysis & PDE - View - PDF
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