Discrete Fourier restriction associated with KdV equations

Details Discrete Fourier restriction associated with KdV equations Discrete Fourier restriction associated with KdV equations

2011-08-17

arxiv.org/abs/1108.5294v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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 $F\in C^5$ and the initial data
$\phi\in H^s$ with $s>1/2$.

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