Inverse diffusion problems with redundant internal information

DOI10.3934/IPI.2012.6.289zbMath1302.35449arXiv1106.4277OpenAlexW2161877030MaRDI QIDQ435841

Guillaume Bal, François Monard

Publication date: 12 July 2012

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.4277

zbMATH Keywords

differential geometryinverse conductivityhybrid methodsCalderón's problempower density measurementsstrongly coupled elliptic systems

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Second-order elliptic equations (35J15) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Methods of local Riemannian geometry (53B21)

Related Items (15)

Jacobian of solutions to the conductivity equation in limited view ⋮ A fully non-linear optimization approach to acousto-electric tomography ⋮ Well-posedness of the conductivity reconstruction from an interior current density in terms of Schauder theory ⋮ Stabilizing inverse problems by internal data. II: Non-local internal data and generic linearized uniqueness ⋮ Inverse Transport and Acousto-Optic Imaging ⋮ Boundary control of elliptic solutions to enforce local constraints ⋮ Existence and uniqueness in anisotropic conductivity reconstruction with Faraday's law ⋮ Linearized internal functionals for anisotropic conductivities ⋮ On a counter-example to quantitative Jacobian bounds ⋮ Applications of CGO solutions to coupled-physics inverse problems ⋮ Ultrasound Modulated Bioluminescence Tomography and Controllability of the Radiative Transport Equation ⋮ Sparse reconstruction of log-conductivity in current density impedance tomography ⋮ Stable reconstruction of regular 1-Harmonic maps with a given trace at the boundary ⋮ Inverse Anisotropic Conductivity from Power Densities in Dimensionn ≥ 3 ⋮ Resistivity Tensor Imaging via Network Discretization of Faraday's Law

This page was built for publication: Inverse diffusion problems with redundant internal information