Spectral approach to derive the representation formulae for solutions of the wave equation
type: Item
instance of: scholarly article
title: Spectral approach to derive the representation formulae for solutions of the wave equation
zbMATH Open document ID: 1251.35042
DOI: 10.1155/2012/761248
author: Gusein Sh. Guseinov
published in: Journal of Applied Mathematics
publication date: 2012-08-06T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 35C15
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 6063477
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/761248
OpenAlex ID: W2084581010
Wikidata QID: Q58907313
cites work: Q3280274
cites work: Q5734592
cites work: Q3993197
cites work: Q3276772
DBLP publication ID: journals/jam/Guseinov12
description: scientific article; zbMATH DE number 6063477