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Existence and uniqueness for electrode models for electric current computed tomography. (English) Zbl 0759.35055
Summary: The following experiment is considered. To a body of given conductivity, a number of electrodes are attached, through which current is sent. On the same electrodes, the resulting voltages are measured. This experiment can be described by a number of mathematical models. These models are discussed and their predictions compared with experiment. In particular, a model is exhibited that is capable of predicting the experimentally measured voltages to within 0.1 percent. For this model, existence and uniqueness of the associated electrical potential is proved.

MSC:
35R30Inverse problems for PDE
35J25Second order elliptic equations, boundary value problems
78A70Biological applications of optics and electromagnetic theory
92C55Biomedical imaging and signal processing, tomography