Stable determination of an anisotropic inclusion in the Schrödinger equation from local Cauchy data

We consider the inverse problem of determining an inclusion contained in a body for Schrödinger type equation by means local Cauchy data. Both and are made inhomogeneous anisotropic materials. Under mild priori assumptions on unknown inclusion, we establish logarithmic stability estimate terms In view possible applications, also provide ad-hoc misfit functional.