Low regularity global well-posedness for the two-dimensional Zakharov system
arXiv:0807.3400
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 Schrödinger 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.
17 pages, updated references, final version to appear in Analysis 29, 1001-1017 (2009)