LIPSCHITZ STABLE DETERMINATION OF POLYHEDRAL CONDUCTIVITY INCLUSIONS FROM LOCAL BOUNDARY MEASUREMENTS

We consider the problem of determining a polyhedral conductivity inclusion embed-ded in a homogeneous isotropic medium from boundary measurements. We prove global Lipschitz stability for the polyhedral inclusion from the local Dirichlet-to-Neumann map extending in a highly nontrivial way the results obtained in [E. Beretta and E. Francini, Appl. Anal., 101 (2022), pp. 3536-3549] and [E. Beretta, E. Francini, and S. Vessella, SIAM J. Math. Anal., 53 (2021), pp. 4303--4327] in the two-dimensional case to the three-dimensional setting.