Convexity and the Exterior Inverse Problem of Potential Theory

Gardiner, Stephen; Sjödin, Tomas

doi:10.1090/S0002-9939-07-09228-3

Convexity and the Exterior Inverse Problem of Potential Theory
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by Stephen J. Gardiner and Tomas Sjödin PDF

Proc. Amer. Math. Soc. 136 (2008), 1699-1703 Request permission

Abstract:

Let $\Omega _{1}$ and $\Omega _{2}$ be bounded solid domains such that their associated volume potentials agree outside $\Omega _{1}\cup \Omega _{2}$. Under the assumption that one of the domains is convex, it is deduced that $\Omega _{1}=\Omega _{2}$.

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