Jaime Navarro & Henry A. Warchall
Abstract:
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.
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Jaime Navarro Universidad Autonoma Metropolitana Unidad Azcapotzalco, Division de Ciencias Basicas Apdo. Postal 16-306, Mexico D.F. 02000, Mexico e-mail: jnfu@hp9000a1.uam.mx | |
Henry A. Warchall Department of Mathematics, University of North Texas Denton TX 76203-5116, USA e-mail: hankw@unt.edu |
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