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On Green’s function for the reduced wave equation in a spherical annular domain with Dirichlet’s boundary conditions

On Green’s function for the reduced wave equation in a spherical annular domain with Dirichlet’s... SummaryIn this study Green’s function for the reduced wave equation (Helmholtz equation) in a spherical annular domain with Dirichlet’s boundary conditions is derived. The convergence of the series solution representing Green’s function is then established. Finally it is shown that Green’s function for the Dirichlet problem reduces to Green’s function for the exterior of a sphere as given by Franz and Etiènne, when the outer radius is moved towards infinity, and when a special position of the coordinate system is chosen. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Scientific Research, Section B Springer Journals

On Green’s function for the reduced wave equation in a spherical annular domain with Dirichlet’s boundary conditions

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Publisher
Springer Journals
Copyright
Copyright © Martinus Nijhoff 1965
ISSN
0365-7140
DOI
10.1007/bf02933506
Publisher site
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Abstract

SummaryIn this study Green’s function for the reduced wave equation (Helmholtz equation) in a spherical annular domain with Dirichlet’s boundary conditions is derived. The convergence of the series solution representing Green’s function is then established. Finally it is shown that Green’s function for the Dirichlet problem reduces to Green’s function for the exterior of a sphere as given by Franz and Etiènne, when the outer radius is moved towards infinity, and when a special position of the coordinate system is chosen.

Journal

Applied Scientific Research, Section B – Springer Journals

Published: Oct 1, 1965

Keywords: Dirichlet Problem; Helmholtz Equation; Symmetric Case; Annular Domain; Complex Function Theory

References