Electron. J. Diff. Eqns., Vol. 1995(1995), No. 17, pp 1-14.
Jaime Navarro & Henry A. Warchall
We consider solutions to the wave equation in 3+1 spacetime dimensions whose data is compactly supported at some initial time. For points outside a ball containing the initial support, we develop an outgoing wave condition, and associated one-way propagation formula, for the partial waves in the spherical-harmonic decomposition of the solution. The propagation formula expresses the -th partial wave at time
Submitted May 20, 1994. Published November 28, 1995.
Math Subject Classification: 35L05, 35L15, 35C10, 35A35, 35A22.
Key Words: One-sided wave propagation, Wave equation, Reflectionless boundary conditions, Partial waves, Spherical-harmonic decomposition, Open-space boundary conditions.
Show me the
PDF file (194 KB),
TEX file, and other files for this article.
| Jaime Navarro |
Universidad Autonoma Metropolitana
Unidad Azcapotzalco, Division de Ciencias Basicas
Apdo. Postal 16-306, Mexico D.F. 02000, Mexico
Henry A. Warchall
Department of Mathematics, University of North Texas
Denton TX 76203-5116, USA
Return to the EJDE home page.