Some Remarks on Strichartz Estimates for Homogeneous Wave Equation

نویسندگان

  • Daoyuan Fang
  • Chengbo Wang
چکیده

In this paper, we give several remarks on Strichartz estimates for homogeneous wave equation. In particular, we show that the endpoint L4t L ∞ x estimate fail to be hold for n = 2 in general. When the data is radial, we prove the endpoint L2t L ∞ x estimate for n ≥ 3, and the L q tL ∞ x estimate with 2 < q < ∞ for n = 2.

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تاریخ انتشار 2008