Inverse conductivity problem on Riemann surfaces
Abstract
An electrical potential U on a bordered Riemann surface X with conductivity function sigma>0 satisfies equation d(sigma dcU)=0. The problem of effective reconstruction of sigma is studied. We extend to the case of Riemann surfaces the reconstruction scheme given, firstly, by R.Novikov (1988) for simply connected X. We apply for this new kernels for dbar on affine algebraic Riemann surfaces constructed in Henkin, arXiv:0804.3761
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