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Convexity and uniqueness in an inverse problem of potential theory


Author: Henrik Shahgholian
Journal: Proc. Amer. Math. Soc. 116 (1992), 1097-1100
MSC: Primary 31B20
DOI: https://doi.org/10.1090/S0002-9939-1992-1137234-2
MathSciNet review: 1137234
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Abstract: Let $ {\Omega _1}$ and $ {\Omega _2}$ be two bounded domains in $ {\mathbb{R}^n}$ whose intersection is convex. Suppose moreover that their volume potentials coincide in the complement of their union. Then $ {\Omega _1} = {\Omega _2}$.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1992-1137234-2
Keywords: Convexity, volume potential, inverse problem
Article copyright: © Copyright 1992 American Mathematical Society

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