On the construction of a potential from Cauchy data

DOI10.1016/0377-0427(93)90060-OzbMath0788.65116MaRDI QIDQ1313186

Lester F. jun. Caudill, Bruce D. Lowe

Publication date: 30 May 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

potentialinverse problemnumerical examplesseparation of variablesinverse Sturm-Liouville problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Applications to the sciences (65Z05)

Cites Work

• A global uniqueness theorem for an inverse boundary value problem
• Generic uniqueness for an inverse boundary value problem
• An \(n\)-dimensional Borg-Levinson theorem
• Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence
• A Backprojection Algorithm for Electrical Impedance Imaging
• Determining conductivity by boundary measurements
• Determining conductivity by boundary measurements II. Interior results
• A uniqueness theorem for an inverse boundary value problem in electrical prospection
• Numerical recovery of certain discontinuous electrical conductivities
• Effects of Measurement Precision and Finite Numbers of Electrodes on Linear Impedance Imaging Algorithms
• The Recovery of Potentials from Finite Spectral Data
• A Convergent Layer Stripping Algorithm for the Radially Symmetric Impedence Tomography Problem
• Stable determination of conductivity by boundary measurements
• Unnamed Item

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