Stability for an Inverse Problem in Potential Theory
Stability for an Inverse Problem in Potential Theory
Let $D$ be a subdomain of a bounded domain $\Omega$ in ${\mathbb {R}^n}$ . The conductivity coefficient of $D$ is a positive constant $k \ne 1$ and the conductivity of $\Omega \backslash D$ is equal to $1$. For a given current density $g$ on $\partial \Omega$ , we compute the …