A simple proof of the uniqueness theorem in impedance tomography

DOI10.1016/0893-9659(88)90094-8zbMath0654.35027OpenAlexW2062523181MaRDI QIDQ1108470

Alexander G. Ramm

Publication date: 1988

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(88)90094-8

zbMATH Keywords

Sobolev spaceuniquenesssmooth boundarybounded domainimpedance tomography

Mathematics Subject Classification ID

Related Items (12)

Multidimensional inverse problems and completeness of the products of solutions to PDE ⋮ Uniqueness theorems for multidimensional inverse problems with unbounded coefficients ⋮ An inverse problem for the wave equation ⋮ Exterior boundary value problems as limits of interface problems ⋮ Necessary and sufficient condition for \(L\) to have property \(C\) ⋮ A special Green's function for the biharmonic operator and its application to an inverse boundary value problem ⋮ SOME RESULTS ON INVERSE SCATTERING ⋮ On Products of Harmonic Polynomials ⋮ Multidimensional inverse problems: Uniqueness theorems ⋮ Finding conductivity from surface measurements ⋮ Property C and an inverse problem for a hyperbolic equation ⋮ On continuous dependence for an inverse initial boundary value problem for the wave equation

Cites Work

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• A global uniqueness theorem for an inverse boundary value problem
• Multidimensional inverse problems: Uniqueness theorems
• Finding conductivity from surface measurements
• Uniqueness theorems for multidimensional inverse problems with unbounded coefficients
• Determining conductivity by boundary measurements II. Interior results
• On double integrals over spheres
• Recovery of the potential from fixed-energy scattering data

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