Local uniqueness in the inverse conductivity problem with one measurement

Authors:
G. Alessandrini, V. Isakov and J. Powell

Journal:
Trans. Amer. Math. Soc. **347** (1995), 3031-3041

MSC:
Primary 35R30; Secondary 31A25, 86A22

DOI:
https://doi.org/10.1090/S0002-9947-1995-1303113-8

MathSciNet review:
1303113

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove local uniqueness of a domain entering the conductivity equation in a bounded planar domain given the Cauchy data for on a part of . The main assumption is that has zero index on which is easy to guarantee by choosing special boundary data for . To achieve our goals we study index of critical points of on .

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DOI:
https://doi.org/10.1090/S0002-9947-1995-1303113-8

Article copyright:
© Copyright 1995
American Mathematical Society