Strichartz estimates on Kerr black hole backgrounds

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

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.

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