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 language | English |
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Pages (from-to) | 859-892 |
Number of pages | 34 |
Journal | Analysis and PDE |
Volume | 6 |
Issue number | 4 |
DOIs | |
State | Published - 2013 |
Scopus Subject Areas
- Analysis
- Numerical Analysis
- Applied Mathematics
Keywords
- Discrete fourier restriction
- KdV
- Local well-posedness