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

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

2011-02-25

arxiv.org/abs/1102.5175v1

Mathematics

Analysis of PDEs

Scientific paper

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 $D$.

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