Discrete fourier restriction associated with KdV equations

Research output: Contribution to journalArticlepeer-review

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)∂xu provided F C5 and the initial data Φ Hs with s > 1=2.

Original languageEnglish (US)
Pages (from-to)859-892
Number of pages34
JournalAnalysis and PDE
Volume6
Issue number4
DOIs
StatePublished - Dec 5 2013
Externally publishedYes

Keywords

  • Discrete fourier restriction
  • KdV
  • Local well-posedness

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Applied Mathematics

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