Spectral Approach to Derive the Representation Formulae for Solutions of the Wave Equation
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-09
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Guseinov, Gusein Sh.. 2012. Spectral Approach to Derive the Representation Formulae for Solutions of the Wave Equation. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-993663
Modern Language Association (MLA)
Guseinov, Gusein Sh.. Spectral Approach to Derive the Representation Formulae for Solutions of the Wave Equation. Journal of Applied Mathematics No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-993663
American Medical Association (AMA)
Guseinov, Gusein Sh.. Spectral Approach to Derive the Representation Formulae for Solutions of the Wave Equation. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-993663
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993663