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The wave equation on hyperbolic spaces

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arxiv 1010.2372 v2 pith:RG3LKKJT submitted 2010-10-12 math.AP math.CA

Jean-Philippe Anker (MAPMO) , Vittoria Pierfelice (MAPMO) , Maria Vallarino (POLITO) This is my paper · ORCID
classification math.APmath.CA
keywords equationwavehyperbolicspacesadmissibleapplicationassociateddeduce
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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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    gr-qc 2019-08 reject novelty 4.0 of 10

    Dark energy and dark matter are proposed to be, respectively, the vacuum and ground-state eigenvalues of a density operator from canonical quantum gravity, yielding accelerating Friedmann solutions under assumed low t...

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