The Calderón Problem with Partial Data for Less Smooth Conductivities
From MaRDI portal
Publication:5291763
DOI10.1080/03605300500361610zbMath1091.35116OpenAlexW2162462016MaRDI QIDQ5291763
Publication date: 22 May 2006
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605300500361610
uniquenessCarleman estimatesDirichlet to Neumann mapinverse conductivity problemelectrical impedance tomography
Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30)
Related Items
The Calderón problem with partial data for conductivities with 3/2 derivatives, An inverse problem for the magnetic Schrödinger operator on Riemannian manifolds from partial boundary data, Uniqueness for inverse boundary value problems by Dirichlet-to-Neumann map on subboundaries, Inverse problem for Schrödinger equations with Yang-Mills potentials in a slab, A shape optimization approach for electrical impedance tomography with point measurements, Inverse problems: seeing the unseen, The Calderón problem with partial data in two dimensions, Stability estimates for the inverse boundary value problem by partial Cauchy data, Stability Estimates for the Inverse Conductivity Problem for Less Regular Conductivities, Limited-angle acousto-electrical tomography, A partial data result for less regular conductivities in admissible geometries, 30 years of Calderón's problem, 3D reconstruction for partial data electrical impedance tomography using a sparsity prior
Cites Work
- A global uniqueness theorem for an inverse boundary value problem
- An \(n\)-dimensional Borg-Levinson theorem
- Reconstructions from boundary measurements
- Uniqueness in the inverse conductivity problem for conductivities with \(3/2\) derivatives in \(L^p\), \(p>2n\)
- Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field
- Global uniqueness for a two-dimensional inverse boundary value problem
- Calderón's inverse conductivity problem in the plane
- Reconstruction of Less Regular Conductivities in the Plane
- Determining conductivity by boundary measurements
- Inverse boundary value problems at the boundary—continuous dependence
- Electrical Impedance Tomography
- Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions
- Exponentially Growing Solutions for Nonsmooth First-Order Perturbations of the Laplacian
- The Calderón problem for conormal potentials I: Global uniqueness and reconstruction
- RECOVERING A POTENTIAL FROM PARTIAL CAUCHY DATA
- Stable determination of conductivity by boundary measurements
- Global Uniqueness in the Impedance-Imaging Problem for Less Regular Conductivities
- Inverse problems for partial differential equations