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francis.lane@
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Homework Statement
I'm considering Laplace's equation in 2D, written in circular polar coordinates (so that's u_rr + 1/r*u_r + (1/r^2)*u_theta,theta). I've worked out what all the seperable solutions are.
My question is: is this set of seperable solutions complete.
(That is, can all solutions of Laplace's equation be expressed as a sum of these solutions.)
No speculation please.