Uniqueness in the Inverse Conductivity Problem for Complex-Valued Lipschitz Conductivities in the Plane

DOI10.1137/17M1120981MaRDI QIDQ5361170

Jorge Tejero, Evgeny Lakshtanov, Boris Vainberg

Publication date: 27 September 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04905

zbMATH Keywords

inverse conductivity problemcomplex conductivityinverse Dirac problemBukhgeim's scattering problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

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CGO-Faddeev approach for complex conductivities with regular jumps in two dimensions ⋮ CALDERÓN’S INVERSE PROBLEM WITH A FINITE NUMBER OF MEASUREMENTS

Cites Work

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• Stability and uniqueness for a two-dimensional inverse boundary value problem for less regular potentials
• On reconstruction of complex-valued once differentiable conductivities
• An inverse scattering transform for the Davey-Stewartson II equations. I
• Singular solutions of elliptic equations and the determination of conductivity by boundary measurements
• Global uniqueness for a two-dimensional inverse boundary value problem
• Calderón's inverse conductivity problem in the plane
• Reconstruction and stability for piecewise smooth potentials in the plane
• A global Riemann-Hilbert problem for two-dimensional inverse scattering at fixed energy
• Reconstruction of Less Regular Conductivities in the Plane
• Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions
• Electrical impedance tomography
• Recovering a complex coefficient in a planar domain from the Dirichlet-to-Neumann map
• Recovering a potential from Cauchy data in the two-dimensional case