Geodesic
Inverse Dirichlet-to-Neumann problem for nodal curves
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 67 (2012) no. 6, pp. 1069-1089

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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, it gives a method for reconstructing the conformal structure of a compact surface of $\mathbb R^3$ with constant scalar conductivity from electric current density measurements in a neighbourhood of one of its points. Bibliography: 23 titles.
Keywords: Riemann surface, nodal curve, Green function, inverse Dirichlet-to-Neumann problem.
Mots-clés : conformal structure 
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     author = {G. Henkin and V. Michel},
     title = {Inverse {Dirichlet-to-Neumann} problem for nodal curves},
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G. Henkin; V. Michel. Inverse Dirichlet-to-Neumann problem for nodal curves. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 67 (2012) no. 6, pp. 1069-1089. http://geodesic.mathdoc.fr/item/RM_2012_67_6_a3/