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Strichartz estimates on Kerr black hole backgrounds

2009/10/08 by Mihai Tohaneanu, Tohaneanu, Mihai · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.0910.1545

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.

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