A bilinear Airy- estimate with application to gKdV-3
Analysis of PDEs
2007-05-23 v2
Abstract
The Fourier restriction norm method is used to show local wellposedness for the Cauchy Problem for the generalized KdV-equation of order three with data in the usual Sobolev space H^s, s > -1/6. For real valued data in L^2 global wellposedness follows by the conservation of the L^2-norm. The main new tool is a bilinear estimate for solutions of the Airy- equation.
Keywords
Cite
@article{arxiv.math/0108184,
title = {A bilinear Airy- estimate with application to gKdV-3},
author = {A Gruenrock},
journal= {arXiv preprint arXiv:math/0108184},
year = {2007}
}
Comments
A misprint in the online abstract was corrected