Inverse conductivity problem on Riemann surfaces
Analysis of PDEs
2008-12-18 v1 Complex Variables
Abstract
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
Cite
@article{arxiv.0804.3951,
title = {Inverse conductivity problem on Riemann surfaces},
author = {Gennadi Henkin and Vincent Michel},
journal= {arXiv preprint arXiv:0804.3951},
year = {2008}
}