Inverse conductivity problem on a Riemann surface

Peter L. Polyakov

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arXiv · 2506.23362

Inverse conductivity problem on a Riemann surface

Peter L. Polyakov

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Abstract

We present an application of the Faddeev-Henkin exponential ansatz and of the d-to-d-bar map on the boundary to inverse conductivity problem on a bordered Riemann surface in CP2. In our approach we use integral formulas for operator d-bar developed in [HP1]-[HP4] and integral formulas for holomorphic functions on Riemann surfaces from [P].

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Peter L. Polyakov. 2025-06-29. Inverse conductivity problem on a Riemann surface. https://arxiv.org/abs/2506.23362

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