English

Inverse conductivity problem in dimension two

Complex Variables 2017-05-09 v2 Mathematical Physics Classical Analysis and ODEs math.MP

Abstract

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 initial data comes from a two dimensional real Riemannian oriented surface equipped with a conductivity tensor, this process recover the whole of what can be determined from this data.

Keywords

Cite

@article{arxiv.1703.03843,
  title  = {Inverse conductivity problem in dimension two},
  author = {Vincent Michel},
  journal= {arXiv preprint arXiv:1703.03843},
  year   = {2017}
}

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in French

R2 v1 2026-06-22T18:42:42.619Z