Multilinear estimates for periodic KdV equations and applications

Details Multilinear estimates for periodic KdV equations and applications Multilinear estimates for periodic KdV equations and applications

2001-10-04

arxiv.org/abs/math/0110049v3

J. Funct. Anal. 211 (2004), 173-218

Mathematics

Analysis of PDEs

39 pages. A correction to the Case 3 argument in Section 14

Scientific paper

We prove an endpoint multilinear estimate for the $X^{s,b}$ spaces associated to the periodic Airy equation. As a consequence we obtain sharp local well-posedness results for periodic generalized KdV equations, as well as some global well-posedness results below the energy norm. In particular we prove a multilinear estimate which completes the proof of global well-posedness for periodic KdV in a preceding paper (math.AP/0110045) down to the optimal regularity H^{-1/2}.

Affiliated with

Also associated with

No associations

Rating

Multilinear estimates for periodic KdV equations and applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Multilinear estimates for periodic KdV equations and applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multilinear estimates for periodic KdV equations and applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-417279