Timeline for Poisson equation in the plane
Current License: CC BY-SA 3.0
5 events
when toggle format | what | by | license | comment | |
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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 |