Optimal size estimates for the inverse conductivity problem with one measurement

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

doi:10.1090/S0002-9939-99-05474-X

Optimal size estimates for the inverse conductivity problem with one measurement
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by G. Alessandrini, E. Rosset and J. K. Seo

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

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

Published electronically: September 9, 1999

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Abstract:

We prove upper and lower estimates on the measure of an inclusion $D$ in a conductor $\Omega$ 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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