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The fundamental solution for the axially symmetric wave equation II

Published online by Cambridge University Press:  24 October 2008

Albert E. Heins
Albert E. Heins
Affiliation:
University of Michigan, Ann Arbor
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Extract

In a recent paper, hereafter referred to as I (1) we derived two alternate forms for the fundamental solution of the axially symmetric wave equation. We demonstrated that for α > 0, the fundamental solution (the so-called free space Green's function) of the partial differential equation

could be written as

if b > r

or

if r > b.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 87 , Issue 3 , May 1980 , pp. 515 - 521
Copyright
Copyright © Cambridge Philosophical Society 1980

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References

REFERENCE

(1)Heins, A. E.The fundamental solution for the axially symmetric wave equation. Arch. Rational Mech. Anal. 67 (1977), 83–100.CrossRefGoogle Scholar