An inverse boundary value problem of determining three dimensional unknown inclusions in an elliptic equation

In this paper we consider an inverse boundary value problem of determining three dimensional unknown inclusions in an elliptic equation in a bounded domain Ω ⊂ from finite boundary measurements on ∂Ω. We will show that poly-hedral inclusions in Ω can be uniquely determined up to their convex edges from a single boundary measurement on ∂Ω.