Global stability for the multi-channel Gelʼfand–Calderón inverse problem in two dimensions

We prove a global logarithmic stability estimate for the multi-channel Gelʼfand–Calderón inverse problem on a two-dimensional bounded domain, i.e., the inverse boundary value problem for the equation −Δψ+vψ=0 on D, where v is a smooth matrix-valued potential defined on a bounded planar domain D.