Boundary Determination of Conductivities and Riemannian Metrics via Local Dirichlet-to-Neumann Operator

We consider the inverse problem to identify an anisotropic conductivity from the Dirichlet-to-Neumann (DtN) map. We first find an explicit reconstruction of the boundary value of less regular anisotropic (transversally isotropic) conductivities and their derivatives. Based on the reconstruction formula, we prove Hölder stability, up to isometry, of the inverse problem using a local DtN map. Key words. inverse boundary value problem, Dirichlet-to-Neumann map, anisotropic conduc-