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Optimal size estimates for the inverse conductivity problem with one measurement
Author(s):
G.
Alessandrini;
E.
Rosset;
J.
K.
Seo
Journal:
Proc. Amer. Math. Soc.
128
(2000),
53-64.
MSC (2000):
Primary 31B20;
Secondary 35R25, 35R30, 35R05
Posted:
September 9, 1999
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Abstract:
We prove upper and lower estimates on the measure of an inclusion  in a conductor  in terms of one pair of current and potential boundary measurements. The growth rates of such estimates are essentially best possible.
References:
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Additional Information:
G.
Alessandrini
Affiliation:
Dipartimento di Scienze Matematiche, Università Degli Studi di Trieste, 34100 Trieste, Italy
Email:
alessang@univ.trieste.it
E.
Rosset
Affiliation:
Dipartimento di Scienze Matematiche, Università Degli Studi di Trieste, 34100 Trieste, Italy
Email:
rossedi@univ.trieste.it
J.
K.
Seo
Affiliation:
Department of Mathematics, Yonsey University, Seoul 120-749, Korea
Email:
seoj@bubble.yonsei.ac.kr
DOI:
10.1090/S0002-9939-99-05474-X
PII:
S 0002-9939(99)05474-X
Keywords:
Inverse conductivity problem,
size estimates,
Muckenhoupt weights
Received by editor(s):
February 11, 1998
Posted:
September 9, 1999
Additional Notes:
This research was supported in part by Fondi MURST 40% and 60% and by CNR
Communicated by:
Lesley M. Sibner
Copyright of article:
Copyright
1999,
American Mathematical Society
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