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Discrete Fourier Restriction Associated With Kdv Equations, Yi Hu, Xiaochun Li
Discrete Fourier Restriction Associated With Kdv Equations, Yi Hu, Xiaochun Li
Department of Mathematical Sciences Faculty Publications
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.