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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Convexity and the Exterior Inverse Problem of Potential Theory


Authors: Stephen J. Gardiner and Tomas Sjödin
Journal: Proc. Amer. Math. Soc. 136 (2008), 1699-1703
MSC (2000): Primary 31B20
Published electronically: November 30, 2007
MathSciNet review: 2373599
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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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Additional Information

Stephen J. Gardiner
Affiliation: School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland
Email: stephen.gardiner@ucd.ie

Tomas Sjödin
Affiliation: School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland
Email: tomas.sjodin@ucd.ie

DOI: http://dx.doi.org/10.1090/S0002-9939-07-09228-3
PII: S 0002-9939(07)09228-3
Received by editor(s): February 19, 2007
Published electronically: November 30, 2007
Additional Notes: This research was supported by Science Foundation Ireland under Grant 06/RFP/MAT057
Communicated by: Juha M. Heinonen
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.