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2012 Spectral Approach to Derive the Representation Formulae for Solutions of the Wave Equation
Gusein Sh. Guseinov
J. Appl. Math. 2012: 1-19 (2012). DOI: 10.1155/2012/761248

Abstract

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-known d'Alembert, Poisson, and Kirchhoff representation formulae in low space dimensions.

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Gusein Sh. Guseinov. "Spectral Approach to Derive the Representation Formulae for Solutions of the Wave Equation." J. Appl. Math. 2012 1 - 19, 2012. https://doi.org/10.1155/2012/761248

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1251.35042
MathSciNet: MR2910904
Digital Object Identifier: 10.1155/2012/761248

Rights: Copyright © 2012 Hindawi

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