Spectral Approach to Derive the Representation Formulae for Solutions of the Wave Equation

Spectral Approach to Derive the Representation Formulae for Solutions of the Wave Equation

Using spectral properties of the Laplace operator and some structural formula for rapidly decreasing functions of the Laplace operator, we offer a novel method to derive explicit formulae for solutions to the Cauchy problem for classical wave equation in arbitrary dimensions. Among them are the well...

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Bibliographic Details
Main Author:	Gusein Sh. Guseinov
Format:	Article
Language:	English
Published:	Hindawi Limited 2012-01-01
Series:	Journal of Applied Mathematics
Online Access:	http://dx.doi.org/10.1155/2012/761248

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