Generic uniqueness for an inverse boundary value problem. (English) Zbl 0728.35132
Electrical impedance tomography is concerned with determining the spatially dependent conductivity of a body from steady state direct current measurements at the boundary. This problem arose in geophysics in determining the conductivity of the earth at depth from surface measurements. More recently it has been proposed as a valuable diagnostic tool in medicine and biology as a noninvasive method to determine conductivity contrasts in the human body. Calderón formulated the general n-dimensional problem and obtained the first results. In the paper under review the authors prove a local uniqueness result for generic conductivities.
Reviewer: H.Haruki (Waterloo / Ontario)
MSC:
| 35R30 | Inverse problems for PDEs |
| 35J25 | Boundary value problems for second-order elliptic equations |
| 92C55 | Biomedical imaging and signal processing |
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