Strichartz estimates for gravity water waves
Analysis of PDEs
2013-08-08 v1
Abstract
We prove Strichartz estimates for gravity water waves, in arbitrary dimension and in fluid domains with general bottoms. We consider rough solutions such that, initially, the first order derivatives of the velocity field are not controlled in -norm, or the initial free surface has a curvature not controlled in -norm.
Keywords
Cite
@article{arxiv.1308.1423,
title = {Strichartz estimates for gravity water waves},
author = {Thomas Alazard and Nicolas Burq and Claude Zuily},
journal= {arXiv preprint arXiv:1308.1423},
year = {2013}
}
Comments
59 pages. This paper relies, for some parts, on our previous article arXiv:1212.0626