Hybrid inverse problems and internal functionals

zbMath1316.35295arXiv1110.4733MaRDI QIDQ5265133

Publication date: 22 July 2015

Full work available at URL: https://arxiv.org/abs/1110.4733

Inverse problems for PDEs (35R30) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (43)

Non-zero constraints in elliptic PDE with random boundary values and applications to hybrid inverse problems ⋮ Mathematics of Hybrid Imaging: A Brief Review ⋮ Analysis of the Magnetoacoustic Tomography with Magnetic Induction ⋮ Jacobian of solutions to the conductivity equation in limited view ⋮ Consistency of Bayesian inference with Gaussian process priors for a parabolic inverse problem ⋮ Absence of critical points of solutions to the Helmholtz equation in 3D ⋮ Recovery of a Lamé parameter from displacement fields in nonlinear elasticity models ⋮ Stable determination of a Lamé coefficient by one internal measurement of displacement ⋮ Imaging conductivity from current density magnitude using neural networks* ⋮ Nonlinear inverse problem of control diffusivity parameter determination for a space-time fractional diffusion equation ⋮ Critical points for elliptic equations with prescribed boundary conditions ⋮ Thermoacoustic tomography for an integro-differential wave equation modeling attenuation ⋮ A fully non-linear optimization approach to acousto-electric tomography ⋮ Recovery of a Smooth Metric via Wave Field and Coordinate Transformation Reconstruction ⋮ Positive Jacobian constraints for elliptic boundary value problems with piecewise-regular coefficients arising from multi-wave inverse problems ⋮ A source reconstruction algorithm for the Stokes system from incomplete velocity measurements ⋮ Stabilizing inverse problems by internal data. II: Non-local internal data and generic linearized uniqueness ⋮ Inverse Transport and Acousto-Optic Imaging ⋮ Boundary control for transport equations ⋮ A novel method for the numerical solution of a hybrid inverse problem of electrical conductivity imaging ⋮ Inverse problems of combined photoacoustic and optical coherence tomography ⋮ Lipschitz stability of recovering the conductivity from internal current densities ⋮ Stability and Reconstruction of a Special Type of Anisotropic Conductivity in Magneto-Acoustic Tomography with Magnetic Induction ⋮ Quantitative reconstructions in multi-modal photoacoustic and optical coherence tomography imaging ⋮ Propagation of singularities for linearised hybrid data impedance tomography ⋮ Reconstructions for some coupled-physics inverse problems ⋮ Acousto-electric tomography with total variation regularization ⋮ Ultrasound modulated bioluminescence tomography with a single optical measurement ⋮ IMAGING USING TRANSPORT MODELS FOR WAVE–WAVE CORRELATIONS ⋮ Disjoint sparsity for signal separation and applications to hybrid inverse problems in medical imaging ⋮ Applications of CGO solutions to coupled-physics inverse problems ⋮ Stability in conductivity imaging from partial measurements of one interior current ⋮ On multiple frequency power density measurements II. The full Maxwell's equations ⋮ Ultrasound Modulated Bioluminescence Tomography and Controllability of the Radiative Transport Equation ⋮ Levenberg-Marquardt algorithm for acousto-electric tomography based on the complete electrode model ⋮ Semiclassical limit of an inverse problem for the Schrödinger equation ⋮ A global stability estimate for the photo-acoustic inverse problem in layered media ⋮ Numerical conductivity reconstruction from partial interior current density information in three dimensions ⋮ Isotropic Realizability of Fields and Reconstruction of Invariant Measures under Positivity Properties. Asymptotics of the Flow by a Non-Ergodic Approach ⋮ Variable exponent Calderón's problem in one dimension ⋮ Infinite-dimensional inverse problems with finite measurements ⋮ Quantitative PAT with simplified P _N approximation ⋮ Numerical Solution of a Regularized Weighted Mean Curvature Flow Problem For Electrical Conductivity Imaging

This page was built for publication: Hybrid inverse problems and internal functionals