On the Derivation of Explicit Formulae for Solutions of the Wave Equation in Hyperbolic Space
On the Derivation of Explicit Formulae for Solutions of the Wave Equation in Hyperbolic Space
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Abstract
We offer a new approach to solving the initial value problem for the wave equation in hyperbolic space in arbitrary dimensions. Our approach is based on the spectral analysis of the Laplace-Beltrami operator in hyperbolic space and some structural formulae for rapidly decreasing functions of this operator. © 2013, Hacettepe University. All rights reserved.
Description
Keywords
Hyperbolic space, Laplace-Beltrami operator, Spectral projection, Wave equation
Fields of Science
Citation
WoS Q
Scopus Q
Volume
42
Issue
4
Start Page
395
End Page
409
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