2 00 7 L 2 - concentration phenomenon for Zakharov system below energy norm ∗
نویسندگان
چکیده
In this paper, we’ll prove a L-concentration result of Zakharov system in space dimension two, with radial initial data (u0, n0, n1) ∈ Hs × L ×H−1 ( 17 < s < 1), when blow up of the solution happens by I-method. In additional to that we find a blow up character of this system. Furthermore, we improve the global existence result of Bourgain’s to above spaces.
منابع مشابه
A ug 2 00 8 Low regularity global well - posedness for the two - dimensional Zakharov system ∗
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.
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