9 citations · 11 across the 5 of their papers we have counts for
6 papers
Inverse conductivity problem in dimension two
Vincent Michel
This article proposes a process to reconstruct a Riemann surface with boundary equipped with a conductivity tensor from its boundary and its Dirichlet-Neumann operator. When initia…
Bishop-Runge approximations and inversion of a Riemann-Klein theorem
Gennadi Henkin, Vincent Michel
In this paper we give results about projective embeddings of Riemann surfaces, smooth or nodal, which we apply to the inverse Dirichlet-to-Neumann problem and to the inversion of a…
Inverse Dirichlet to Neumann problem for nodal curves
Gennadi Henkin, Vincent Michel
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 me…
Problème de Plateau complexe feuilleté. Phénomènes de Hartogs-Severi et Bochner pour des feuilletages CR singuliers
G. Henkin, V. Michel
The purpose of this paper is to generalize in a geometric setting theorems of Severi, Brown and Bochner about analytic continuation of real analytic functions which are holomorphic…
Inverse conductivity problem on Riemann surfaces
Gennadi Henkin, Vincent Michel
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…
On the explicit reconstruction of a Riemann surface from its Dirichlet-Neumann operator
Gennadi Henkin, Vincent Michel
This article gives a complex analysis lighting on the problem which consists in restoring a bordered connected riemaniann surface from its boundary and its Dirichlet-Neumann operat…