A ug 2 00 8 Low regularity global well - posedness for the two - dimensional Zakharov system ∗
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چکیده
The two-dimensional Zakharov system is shown to have a unique global solution for data without finite energy if the L-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.
منابع مشابه
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تاریخ انتشار 2009