Determining Conductivity with Special Anisotropy by Boundary Measurements
- 1 January 2001
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 33 (1) , 153-171
- https://doi.org/10.1137/s0036141000369563
Abstract
Peer-reviewedWe prove results of uniqueness and stability at the boundary for the inverse problem\ud of electrical impedance tomography in the presence of possibly anisotropic conduct.ivities. We assume that the unknown conductivity has the forrn A = A(x, a(x)), where a(x) is an unknown scalar function and A(x, t) is a given matrix-valued function. We also deduce results of uniqueness in the interior among conductivities A obtained by piecewise analytic perturbations of the scalar term aKeywords
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