Inverse conductivity problem on Riemann surfaces

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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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Analysis of PDEs, Complex Variables

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http://salesiana.dossiersoluciones.com/handle/123456789/212423

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.3951
 http://arxiv.org/abs/0804.3951

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arXiv