Global well-posedness and scattering for small data for the 3-d KP-II Cauchy problem
Analysis of PDEs
2017-04-11 v2
Abstract
We study global well-posedness for the Kadomtsev-Petviashvili II equation in three space dimensions with small initial data. The crucial points are new bilinear estimates and the definition of the function spaces. As by-product we obtain that all solutions to small initial data scatter.
Keywords
Cite
@article{arxiv.1608.06730,
title = {Global well-posedness and scattering for small data for the 3-d KP-II Cauchy problem},
author = {Herbert Koch and Junfeng Li},
journal= {arXiv preprint arXiv:1608.06730},
year = {2017}
}
Comments
33 pages, 1 figure, final version