Many texts in deriving the fundamental solution of the Laplace equation in three dimensions start by noting that the since the Laplacian has radial symmetry that(adsbygoogle = window.adsbygoogle || []).push({});

Δu=δ(x)δ(y)δ(z)

That all that needs to be considered is

d^2u/dr^2 + 2/r du/dr = δ(r)

For r > 0 the solution given is

u= c1/r + c2

I have no trouble accepting the fact that this is a solution.

My question is by what method is the solution obtained ?

I thought to apply a Laplace transform, however no initial values for u or the derivative of u are given.

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# Fundamental Solution to Laplace Equation

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