The wave equation on Damek-Ricci spaces
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equationwavedamek-riccispacesadmissibleapplicationassociateddeduce
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We study the dispersive properties of the wave equation associated with the shifted Laplace-Beltrami operator on Damek-Ricci spaces, and deduce Strichartz estimates for a large family of admissible pairs. As an application, we obtain global well-posedness results for the nonlinear wave equation.
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