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Discrete Fourier restriction associated with KdV equations

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arxiv 1108.5294 v1 pith:4GOD62EA submitted 2011-08-17 math.CA math.AP

Yi Hu , Xiaochun Li This is my paper
classification math.CAmath.AP
keywords associateddiscreteequationsrestrictionconsiderdataequationestablish
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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 $\phi\in H^s$ with $s>1/2$.

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