Inverse conductivity problem on a Riemann surface
Complex Variables
2026-04-21 v4
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].
Keywords
Cite
@article{arxiv.2506.23362,
title = {Inverse conductivity problem on a Riemann surface},
author = {Peter L. Polyakov},
journal= {arXiv preprint arXiv:2506.23362},
year = {2026}
}