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Convexity and the Exterior Inverse Problem of Potential Theory
Author(s):
Stephen
J.
Gardiner;
Tomas
Sjödin
Journal:
Proc. Amer. Math. Soc.
136
(2008),
1699-1703.
MSC (2000):
Primary 31B20
Posted:
November 30, 2007
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Abstract:
Let  and  be bounded solid domains such that their associated volume potentials agree outside  . Under the assumption that one of the domains is convex, it is deduced that  .
References:
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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:
10.1090/S0002-9939-07-09228-3
PII:
S 0002-9939(07)09228-3
Received by editor(s):
February 19, 2007
Posted:
November 30, 2007
Additional Notes:
This research was supported by Science Foundation Ireland under Grant 06/RFP/MAT057
Communicated by:
Juha M. Heinonen
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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