  We discuss the inverse problem of determining the, possibly anisotropic,
conductivity of a body $\Omega\subset\mathbb{R}^{n}$ when the so-called
Neumann-to-Dirichlet map is locally given on a non empty curved portion
$\Sigma$ of the boundary $\partial\Omega$. We prove that anisotropic
conductivities that are \textit{a-priori} known to be piecewise constant
matrices on a given partition of $\Omega$ with curved interfaces can be
uniquely determined in the interior from the knowledge of the local
Neumann-to-Dirichlet map.

Analysis of PDEs