ABSTRACT
Let D ⊂ R3 denote a bounded domain with boundary ∂D = Σ and assume the existence of a simply connected subdomain S ⊂ D, consisting of material with constant conductivity, essentially different from the likewise constant conductivity of the material in the subregion Ω = D \ S. We consider the identification problem of this inclusion if the Cauchy data of the electrical potential u are measured at the boundary Σ, that is, if a single pair f = u|Σ and g = (∂u/∂n)|Σ is known.
