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An alǵebraic technique for the solution of Laplace's equation in three dimensions

Published online by Cambridge University Press:  24 October 2008

K. S. Kunz
K. S. Kunz
Affiliation:
Research Center, New Mexico State University, Las Cruces, New Mexico
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Extract

In obtaining a solution of Laplace's equation in two dimensions by the method of conformal mapping, one first maps the points (x, y) of the Euclidean plane R2 into the algebra of complex numbers C by means of the real-linear function g: R2→C using the prescription g(x, y) = x + iy ≡ z. One then obtains solutions of Laplace's equation by allowing those mappings of C into itself that are expressed by analytic functions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 2 , March 1970 , pp. 383 - 389
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

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