Inverse conductivity problem on Riemann surfaces

Details Inverse conductivity problem on Riemann surfaces Inverse conductivity problem on Riemann surfaces

2008-04-24

arxiv.org/abs/0804.3951v1

Mathematics

Analysis of PDEs

Scientific paper

An electrical potential U on a bordered Riemann surface X with conductivity function sigma>0 satisfies equation d(sigma d^cU)=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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