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Strichartz estimates on Kerr black hole backgrounds

Analysis of PDEs 2009-10-09 v1 Mathematical Physics math.MP

Abstract

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. As an application, we then prove global well-posedness and uniqueness for the energy critical semilinear wave equation.

Keywords

Cite

@article{arxiv.0910.1545,
  title  = {Strichartz estimates on Kerr black hole backgrounds},
  author = {Mihai Tohaneanu},
  journal= {arXiv preprint arXiv:0910.1545},
  year   = {2009}
}
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