Jean-Philippe Anker, Vittoria Pierfelice, Maria Vallarino
Published 2010-10-12, updated 2011-11-28Version 2
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.
Nonlinear Schrödinger equation on real hyperbolic spaces
Generic Regularity of Conservative Solutions to a Nonlinear Wave Equation
Blow-up and lifespan estimate to a nonlinear wave equation in Schwarzschild spacetime
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