Discrete Fourier restriction associated with KdV equations

2011/08/17 by Yichen Hu, Hu, Yi, Xiao‐Chun Li +1
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1108.5294

openalex publication_date 2011/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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∈ C⁵ and the initial data ϕ∈ H^s with s>1/2.

Citations

• Multilinear estimates for periodic KdV equations, and applications

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