Spectral approach to derive the representation formulae for solutions of the wave equation (Q443077)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Spectral approach to derive the representation formulae for solutions of the wave equation |
scientific article; zbMATH DE number 6063477
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral approach to derive the representation formulae for solutions of the wave equation |
scientific article; zbMATH DE number 6063477 |
Statements
Spectral approach to derive the representation formulae for solutions of the wave equation (English)
0 references
6 August 2012
0 references
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.
0 references
