Uniqueness and nonuniqueness in inverse problems for elliptic partial differential equations and related medical imaging
From MaRDI portal
Publication:277970
DOI10.1155/2015/908251zbMath1375.35633OpenAlexW2022508422WikidataQ59102581 ScholiaQ59102581MaRDI QIDQ277970
Publication date: 2 May 2016
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2015/908251
Boundary value problems for second-order elliptic equations (35J25) Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A global uniqueness theorem for an inverse boundary value problem
- Born expansion and Fréchet derivatives in nonlinear diffuse optical tomography
- Reconstructions from boundary measurements
- Inverse scattering problem in anisotropic media
- Inverse acoustic and electromagnetic scattering theory.
- On nonuniqueness for Calderón's inverse problem
- Global uniqueness for a two-dimensional inverse boundary value problem
- Approximate quantum and acoustic cloaking
- Enhancement of near-cloaking. II: The Helmholtz equation
- Enhancement of near cloaking using generalized polarization tensors vanishing structures. I: The conductivity problem
- Calderón's inverse conductivity problem in the plane
- Optical Conformal Mapping
- Controlling Electromagnetic Fields
- On uniqueness in th invese transmission scattering problem
- Determining anisotropic real-analytic conductivities by boundary measurements
- An anisotropic inverse boundary value problem
- Cloaking via change of variables for the Helmholtz equation
- Impedance Imaging, Inverse Problems, and Harry Potter's Cloak
- Cloaking Devices, Electromagnetic Wormholes, and Transformation Optics
- Determining conductivity by boundary measurements
- Inverse boundary value problems at the boundary—continuous dependence
- On uniqueness of recovery of a discontinuous conductivity coefficient
- On uniqueness for anisotropic inhomogeneous inverse scattering problems
- Inverse scattering problem for a stratified anisotropic slab
- The Inverse Conductivity Problem with One Measurement: Uniqueness for Convex Polyhedra
- On determining a Riemannian manifold from the Dirichlet-to-Neumann map
- Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions
- Anisotropic inverse problems in two dimensions
- Identification of the curve of discontinuity of the determinant of the anisotropic conductivity
- Anisotropic inverse conductivity and scattering problems
- Calderóns' Inverse Problem for Anisotropic Conductivity in the Plane
- Uniqueness in inverse obstacle scattering (acoustics)
- Stable determination of conductivity by boundary measurements
- Identification of anisotropic anomalous region in inverse problems
- An inverse problem for the Helmholtz equation
- The layer potential technique for the inverse conductivity problem
- Cloaking via change of variables for the Helmholtz equation in the whole space
- Enhancement of Near Cloaking for the Full Maxwell Equations
- Cloaking via change of variables in electric impedance tomography
- Inverse problems for partial differential equations
- Electromagnetic scattering from an orthotropic medium
