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Convexity and the Exterior Inverse Problem of Potential Theory
Authors:Stephen J. Gardiner   Tomas Sjö  din
Affiliation:School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland ; School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland
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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