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Love's integral and other relations between solutions to mixed boundary-value problems in potential theory

Published online by Cambridge University Press:  17 February 2009

A. H. England
A. H. England
Affiliation:
Department of Theoretical Mechanics, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
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Abstract

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In a paper published in 1949, E. R. Love [10] found an integral relation between a separated solution (in oblate spheroidal coordinates) to a particular mixed boundary-value problem and a solution to the same problem using an integral representation. This note examines further representations of the same type which occur in some simple two and three-dimensional potential problems.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 22 , Issue 3 , January 1981, pp. 353 - 367
Copyright
Copyright © Australian Mathematical Society 1981

References

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