Mathematics – Analysis of PDEs
Scientific paper
2010-02-01
Mathematics
Analysis of PDEs
50pp
Scientific paper
In this paper we investigate the dispersive properties of the solutions of the two dimensional water-waves system. First we prove Strichartz type estimates with loss of derivatives at the same low level of regularity we were able to construct the solutions in [2]. On the other hand, for smoother initial data, we prove that the solutions enjoy the optimal Strichartz estimates (i.e, without loss of regularity compared to the system linearized at (? = 0, ? = 0)).
Alazard Thomas
Burq Nicolas
Zuily Claude
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