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Timeline for Poisson equation in the plane

Current License: CC BY-SA 3.0

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Apr 19, 2011 at 12:56 comment added Stephan F. Kroneck ... Isn't some sort of symmetry-breaking imaginable ? Or is this discluded due to uniqueness considerations ? Anyway, thanks for your comment ! Kind regards, St.
Apr 19, 2011 at 12:53 comment added Stephan F. Kroneck First off, don't ask me what made me think $u(x,r)=r:=\sqrt{x^2+y^2}$ was a solution; next, I did try looking for a radial solution $\hat u(r)$, i.e. tried solving $\frac{1}{r}\frac{\partial}{\partial r}(r\frac{\partial\hat u}{\partial r})=r$, but must have miscalculated ... What bothers me is the assumption made in most books of the existence of a radially symmetric solution, simply because of the corresponding symmetry of the (domain of the) equation and the boundary condition ...
Apr 19, 2011 at 12:48 vote accept Stephan F. Kroneck
Apr 19, 2011 at 12:48 vote accept Stephan F. Kroneck
Apr 19, 2011 at 12:48
Apr 18, 2011 at 9:11 history answered Michael Coffey CC BY-SA 3.0