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Physical Sciences and Engineering Mathematics Analysis

The wave equation on hyperbolic spaces

Article ID Journal Published Year Pages File Type
4611417 Journal of Differential Equations 2012 49 Pages PDF
Abstract

We study the dispersive properties of the wave equation associated with the shifted Laplace–Beltrami operator on real hyperbolic spaces and deduce new 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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Physical Sciences and Engineering Mathematics Analysis
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The wave equation on hyperbolic spaces
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Journal of Differential Equations
Journal: Journal of Differential Equations
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