L2-concentration phenomenon for Zakharov system below energy norm
Daoyuan Fang, Sijia Zhong
Abstract
In this paper, we'll prove a L2-concentration result of Zakharov system in space dimension two, with radial initial data (u0,n0,n1)∈ Hs× L2× H-1 (16/17<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.
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