On the reconstruction of conductivity of a bordered two-dimensional surface in \(\mathbb R^3\) from electrical current measurements on its boundary

DOI10.1007/s12220-010-9158-8zbMath1227.35244arXiv1003.4897OpenAlexW2150899056MaRDI QIDQ555691

Roman G. Novikov, Gennadi M. Henkin

Publication date: 26 July 2011

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4897

zbMATH Keywords

Riemann surfaceinverse conductivity problem\(\bar{\partial}\)-methodelectrical current

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) PDEs with low regular coefficients and/or low regular data (35R05) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items

Explicit Hodge decomposition on Riemann surfaces ⋮ Inverse boundary problems for systems in two dimensions ⋮ Stability for a magnetic Schrödinger operator on a Riemann surface with boundary ⋮ The two-dimensional inverse conductivity problem ⋮ Determining Lamé coefficients by the elastic Dirichlet-to-Neumann map on a Riemannian manifold ⋮ Boundary integral formula for harmonic functions on Riemann surfaces ⋮ Inverse problem for the Riemannian wave equation with Dirichlet data and Neumann data on disjoint sets ⋮ Identification of a connection from Cauchy data on a Riemann surface with boundary ⋮ Calderón inverse problem with partial data on Riemann surfaces ⋮ Explicit Hodge-type decomposition on projective complete intersections

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