Low regularity global well-posedness for the two-dimensional Zakharov system
Analysis of PDEs
2009-05-19 v3
Abstract
The two-dimensional Zakharov system is shown to have a unique global solution for data without finite energy if the L^2 - norm of the Schr\"odinger part is small enough. The proof uses a refined I-method originally initiated by Colliander, Keel, Staffilani, Takaoka and Tao. A polynomial growth bound for the solution is also given.
Cite
@article{arxiv.0807.3400,
title = {Low regularity global well-posedness for the two-dimensional Zakharov system},
author = {Daoyuan Fang and Hartmut Pecher and Sijia Zhong},
journal= {arXiv preprint arXiv:0807.3400},
year = {2009}
}
Comments
17 pages, updated references, final version to appear in Analysis 29, 1001-1017 (2009)