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

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

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