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An inverse problem for the Helmholtz equation. (English) Zbl 0860.35142

The author studies the question of uniqueness of an inverse problem for the Helmholtz equation. It is the problem to reconstruct the (isotropic or unisotropic) conductivity distribution from field measurements outside the body. In the two dimensional case it is shown that measurements for two frequencies suffice provided that the parameters are sufficiently close to constant.

MSC:

35R30 Inverse problems for PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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