- #1
Logarythmic
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I know that if the potential on the boundary of a sphere is zero, then the potential inside the sphere is zero. I also know that if the potential on the boundary is constant, then there exist a solution to the laplace equation inside the sphere and the solution is unique. But what if the boundary is not closed?
For exemple, if the potential is constant on the surface of a half-open cylinder (with one disc removed). Does a solution exist but not a unique one?
For exemple, if the potential is constant on the surface of a half-open cylinder (with one disc removed). Does a solution exist but not a unique one?