%0 Journal Article
%T Strichartz Estimates for Water Waves
%A Thomas Alazard
%A Nicolas Burq
%A Claude Zuily
%J Mathematics
%D 2010
%I arXiv
%X 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)).
%U http://arxiv.org/abs/1002.0323v1