We prove a global logarithmic stability estimate for the multi-channel Gel'fand-Calderon inverse problem on a two-dimensional bounded domain, i.e.. the inverse boundary value problem for the equation -Delta psi + nu psi = 0 on D, where nu is a smooth matrix-valued potential defined on a bounded planar domain D. (c) 2012 Elsevier Masson SAS. All rights reserved.
Global stability for the multi-channel Gel'fand-Calderón inverse problem in two dimensions
Matteo Santacesaria
2012-01-01
Abstract
We prove a global logarithmic stability estimate for the multi-channel Gel'fand-Calderon inverse problem on a two-dimensional bounded domain, i.e.. the inverse boundary value problem for the equation -Delta psi + nu psi = 0 on D, where nu is a smooth matrix-valued potential defined on a bounded planar domain D. (c) 2012 Elsevier Masson SAS. All rights reserved.
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