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The Use of Green's Functions in the Mathematical Theory of the Conduction of Heat
Published online by Cambridge University Press: 20 January 2009
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The use of Green's Functions in the Theory of Potential is well known. The function is most conveniently defined, for the closed surface S, as the potential which vanishes over S and is infinite as 
when r is zero, at the point P(x0, y0, z0), inside the surface. If this is represented by G(P), the solution with no infinity inside S and an arbitrary value V over the surface, is given by
denoting differentiation along the outward drawn normal.
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References
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