Lipschitz Stable Determination of Polygonal Conductivity Inclusions in a Two-Dimensional Layered Medium from the Dirichlet-to-Neumann Map

Using a distributed representation formula of the Gateaux derivative of the Dirichlet-to-Neumann map with respect to movements of a polygonal conductivity inclusion, we prove global Lipschitz stability for the determination of a polygonal conductivity inclusion, embedded in a 2-dimensional layered medium, from knowledge of the Dirichlet-to-Neumann map.