Mathematics – Analysis of PDEs
Scientific paper
2010-10-12
Mathematics
Analysis of PDEs
Scientific paper
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.
Anker Jean-Philippe
Pierfelice Vittoria
Vallarino Maria
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