Publisher: Cambridge University Press
E-ISSN: 1446-8735|46|1|85-93
ISSN: 1446-1811
Source: ANZIAM Journal, Vol.46, Iss.1, 2004-07, pp. : 85-93
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
In a classical paper, E. R. Love considered a certain function defined by a singular integral which is harmonic outside a circular disk. Love's objective was to derive a simple integral equation whose solution leads to a useful formula for the capacitance of the condenser consisting of two parallel circular plates. We close a gap in Love's derivation by finding a new nonsingular representation of Love's singular integral which permits one to draw the required conclusions about its boundary values and thereby establishes the correctness of Love's expression for the capacitance.
Related content
A note on a paper of E.R. Love
Bulletin of the Australian Mathematical Society, Vol. 19, Iss. 1, 1978-08 ,pp. :
A Generalization of a Volterra Integral Equation
Applicable Analysis, Vol. 81, Iss. 5, 2002-01 ,pp. :
Toeplitz plus Hankel integral equation
Integral Transforms and Special Functions, Vol. 22, Iss. 10, 2011-10 ,pp. :
Boundary integral methods for the Laplace equation
Bulletin of the Australian Mathematical Society, Vol. 35, Iss. 1, 1987-02 ,pp. :