Publication Date:
2012-04-10
Description:
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.
Print ISSN:
1110-757X
Electronic ISSN:
1687-0042
Topics:
Mathematics
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