English

Discrete Fourier restriction associated with KdV equations

Classical Analysis and ODEs 2011-08-29 v1 Analysis of PDEs

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)\pxu F(u)\p_x u provided FC5F\in C^5 and the initial data ϕHs\phi\in H^s with s>1/2s>1/2.

Keywords

Cite

@article{arxiv.1108.5294,
  title  = {Discrete Fourier restriction associated with KdV equations},
  author = {Yi Hu and Xiaochun Li},
  journal= {arXiv preprint arXiv:1108.5294},
  year   = {2011}
}
R2 v1 2026-06-21T18:55:35.045Z