Optimal size estimates for the inverse conductivity problem with one measurement

Authors:
G. Alessandrini, E. Rosset and J. K. Seo

Journal:
Proc. Amer. Math. Soc. **128** (2000), 53-64

MSC (2000):
Primary 31B20; Secondary 35R25, 35R30, 35R05

DOI:
https://doi.org/10.1090/S0002-9939-99-05474-X

Published electronically:
September 9, 1999

MathSciNet review:
1695112

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Abstract | References | Similar Articles | Additional Information

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.

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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**

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:
https://doi.org/10.1090/S0002-9939-99-05474-X

Keywords:
Inverse conductivity problem,
size estimates,
Muckenhoupt weights

Received by editor(s):
February 11, 1998

Published electronically:
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

Article copyright:
© Copyright 1999
American Mathematical Society