Electric Impedance Tomography problem for surfaces with internal holes

A. V. Badanin, M. I. Belishev, D. V. Korikov

Let $(M,g)$ be a smooth compact Riemann surface with the multicomponent boundary $\Gamma ={\Gamma }_0\cup {\Gamma }_1\cup \cdots \cup {\Gamma }_m=:{\Gamma }_0\cup \tilde{\Gamma }$. Let $u=u^f$ obey $\Delta u=0$ in $M$, $u|_{Γ_0}=f,\,\,u|_…