The wave equation on hyperbolic spaces

By Jean-Philippe Anker, Vittoria Pierfelice, M. Vallarino. 2010

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In this paper, we study the dispersive properties of the wave equation associated with the shifted Laplace-Beltrami operator on real hyperbolic spaces, and deduce Strichartz estimates for a large family of admissible pairs. As an application, we obtain local well-posedness results for the nonlinear wave equation.

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