Strichartz Estimates on Kerr Black Hole Backgrounds

  title={Strichartz Estimates on Kerr Black Hole Backgrounds},
  author={Mihai Tohaneanu},
We study the dispersive properties for the wave equation in the Kerr space-time with small angular momentum. The main result of this paper is to establish Strichartz estimates for solutions of the aforementioned equation. This follows a local energy decay result for the Kerr space-time obtained in the earlier work [23] and uses the techniques and results from [13] by the author and collaborators. As an application, we then prove global well-posedness and uniqueness for the energy critical… CONTINUE READING
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