Strichartz Estimates for Water Waves

  title={Strichartz Estimates for Water Waves},
  author={Thomas Alazard and Nicolas Burq and C. Zuily},
— 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 (η = 0, ψ = 0)). 

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