Anisotropic conductivities that cannot be detected by EIT
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Updated: Sep 25, 2026

Measuring Proton Conductivity in MOF-Based Mixed Matrix Membranes by Electrochemical Impedance Spectroscopy
Published on: June 16, 2026
Allan Greenleaf1, Matti Lassas, Gunther Uhlmann
1Department of Mathematics, University of Rochester, Rochester, NY 14618, USA.
Abstract:
We construct anisotropic conductivities in dimension 3 that give rise to the same voltage and current measurements at the boundary of a body as a homogeneous isotropic conductivity. These conductivities are non-zero, but degenerate close to a surface inside the body.
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