Unique recovery results for the piecewise constant conductivity of n-layer media

Abstract

In this article, we think about a unique recovery result for piecewise constant conductivity in n-layer media conductivity problem in d for the case of multiple magnetization anomalous objects without overlap. Firstly, solution of the problem is obtained by layer potential theory, the extension theorem of the harmonic function and the continuous transmission condition. Secondly, equations related to the layer potential are transformed into conductivity equations using the jump formula, based on the Calderón equation and the property of the self-adjoint operator. Finally, we obtain a unique recovery result for the piecewise constant conductivity in n-layer media.