Global stability for the multi-channel Gel'fand-Calderón inverse problem in two dimensions

Matteo Santacesaria

Published 2011-02-25Version 1

We prove a global logarithmic stability estimate for the multi-channel Gel'fand-Calder\'on inverse problem on a two-dimensional bounded domain, i.e. the inverse boundary value problem for the equation $-\Delta \psi + v\, \psi = 0$ on $D$, where $v$ is a smooth matrix-valued potential defined on a bounded planar domain $D$.