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arXiv · 1010.2372

The wave equation on hyperbolic spaces

Jean-Philippe Anker·Vittoria Pierfelice·Maria Vallarino
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Abstract

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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Jean-Philippe Anker, Vittoria Pierfelice, Maria Vallarino. 2010-10-12. The wave equation on hyperbolic spaces. https://arxiv.org/abs/1010.2372

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