dc.contributor.author Navarro, Jaime ( ) dc.contributor.author Warchall, Henry A. ( ) dc.date.accessioned 2018-08-22T21:25:27Z dc.date.available 2018-08-22T21:25:27Z dc.date.issued 1995-06-15 dc.identifier.citation Navarro, J. & Warchall, H. A. (1995). Reflectionless boundary propagation formulas for partial wave solutions to the wave equation. Electronic Journal of Differential Equations, 1995(17), pp. 1-14. en_US dc.identifier.issn 1072-6691 dc.identifier.uri https://digital.library.txstate.edu/handle/10877/7584 dc.description.abstract We consider solutions to the wave equation in 3+1 spacetime dimen- sions 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 prop- agation formula expresses the l-th partial wave at time t and radius a in terms of order-l radial derivatives of the partial wave at time t − ∆t and radius a − ∆t. The boundary propagation formula can be applied to any differential equation that is well-approximated by the wave equation outside a fixed ball. en_US dc.format Text dc.format.extent 14 pages dc.format.medium 1 file (.pdf) dc.language.iso en en_US dc.publisher Southwest Texas State University, Department of Mathematics en_US dc.source Electronic Journal of Differential Equations, 1995, San Marcos, Texas: Southwest Texas State University and University of North Texas. dc.subject One-sided wave propagation en_US dc.subject Wave equation en_US dc.subject Reflectionless boundary conditions en_US dc.subject Partial waves en_US dc.subject Spherical-harmonic decomposition en_US dc.subject Open-space boundary conditions en_US dc.title Reflectionless Boundary Propagation Formulas for Partial Wave Solutions to the Wave Equation en_US dc.type publishedVersion txstate.documenttype Article dc.rights.license This work is licensed under a Creative Commons Attribution 4.0 International License.
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