On the Derivation of Explicit Formulae for Solutions of the Wave Equation in Hyperbolic Space

Year 2013, Volume: 42 Issue: 4 , 1 - 15 , 01.04.2013

Gusein Sh. Guseinov

https://izlik.org/JA76XL63PF

Abstract

We offer a new approach to solving the initial value problem for thewave 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 rapidlydecreasing functions of this operator.

Keywords

Hyperbolic space , Laplace-Beltrami operator , wave equation , spectralprojection.

On the Derivation of Explicit Formulae for Solutions of the Wave Equation in Hyperbolic Space

https://izlik.org/JA76XL63PF

Abstract

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Keywords

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References

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