Spectral Approach to Derive the Representation Formulae for Solutions of the Wave Equation
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...
Saved in:
Main Author: | Gusein Sh. Guseinov |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2012-01-01
|
Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2012/761248 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
On representation formula for solutions of Hamilton–Jacobi equations for unbounded initial conditions
by: Gintautas Gudynas
Published: (2002-12-01) -
Formulas For Solutions Of The Riccati’s Equation
by: A. Asanov, et al.
Published: (2017-12-01) -
Kreĭn's trace formula and the spectral shift function
by: Khristo N. Boyadzhiev
Published: (2001-01-01) -
Spectral properties of the Klein-Gordon s-wave equation with spectral parameter-dependent boundary condition
by: Gülen Başcanbaz-Tunca
Published: (2004-01-01) -
On representation of solutions to the heat equation
by: Auscher, Pascal, et al.
Published: (2024-09-01)