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arXiv · 1108.5294

Discrete Fourier restriction associated with KdV equations

Yi Hu·Xiaochun Li
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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 $F\in C^5$ and the initial data $ϕ\in H^s$ with $s>1/2$.

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Yi Hu, Xiaochun Li. 2011-08-17. Discrete Fourier restriction associated with KdV equations. https://arxiv.org/abs/1108.5294

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