Inverse Dirichlet to Neumann problem for nodal curves
Complex Variables
2015-06-12 v1
Abstract
This paper proposes direct and inverse results for the Dirichlet and Dirichlet to Neumann problems for complex curves with nodal type singularities. As an application, we give a method to reconstruct the conformal structure of a compact surface of the standard three dimensional euclidean space with constant scalar conductivity from electrical current measurements in a neighborhood of one of its points.
Keywords
Cite
@article{arxiv.1211.1631,
title = {Inverse Dirichlet to Neumann problem for nodal curves},
author = {Gennadi Henkin and Vincent Michel},
journal= {arXiv preprint arXiv:1211.1631},
year = {2015}
}