Optimal size estimates for the inverse conductivity problem with one measurement

G. Alessandrini; E. Rosset; J. K. Seo

doi:10.1090/s0002-9939-99-05474-x

Optimal size estimates for the inverse conductivity problem with one measurement

G. Alessandrini, E. Rosset, J. K. Seo

Department of Computational Science and Engineering

Research output: Contribution to journal › Article › peer-review

41 Citations (Scopus)

Abstract

We prove upper and lower estimates on the measure of an inclusion D in a conductor Ω in terms of one pair of current and potential boundary measurements. The growth rates of such estimates are essentially best possible.

Original language	English
Pages (from-to)	53-64
Number of pages	12
Journal	Proceedings of the American Mathematical Society
Volume	128
Issue number	1
DOIs	https://doi.org/10.1090/s0002-9939-99-05474-x
Publication status	Published - 2000

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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abstract = "We prove upper and lower estimates on the measure of an inclusion D in a conductor Ω 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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AU - Rosset, E.

AU - Seo, J. K.

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Optimal size estimates for the inverse conductivity problem with one measurement

Abstract

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