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arxiv: 0910.1545 · v1 · submitted 2009-10-08 · 🧮 math.AP · math-ph· math.MP

Strichartz estimates on Kerr black hole backgrounds

classification 🧮 math.AP math-phmath.MP
keywords equationestimateskerrstrichartzwaveaforementionedangularapplication
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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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