Strichartz Estimates for Water Waves
Analysis of PDEs
2010-02-02 v1
Abstract
In this paper we investigate the dispersive properties of the solutions of the two dimensional water-waves system. First we prove Strichartz type estimates with loss of derivatives at the same low level of regularity we were able to construct the solutions in [2]. On the other hand, for smoother initial data, we prove that the solutions enjoy the optimal Strichartz estimates (i.e, without loss of regularity compared to the system linearized at (? = 0, ? = 0)).
Cite
@article{arxiv.1002.0323,
title = {Strichartz Estimates for Water Waves},
author = {Thomas Alazard and Nicolas Burq and Claude Zuily},
journal= {arXiv preprint arXiv:1002.0323},
year = {2010}
}
Comments
50pp