Low regularity global well-posedness for the two-dimensional Zakharov system
Abstract
The two-dimensional Zakharov system is shown to have a unique global solution for data without finite energy if the L2 - 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.
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