Increasing Stability for the Conductivity and Attenuation Coefficients
From MaRDI portal
Publication:5744671
DOI10.1137/15M1019052zbMath1338.35496arXiv1505.00108OpenAlexW1526514489MaRDI QIDQ5744671
Ru-Yu Lai, Victor Isakov, Jenn-Nan Wang
Publication date: 19 February 2016
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.00108
Inverse problems in geophysics (86A22) Inverse problems for PDEs (35R30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)
Related Items (23)
A linearised inverse conductivity problem for the Maxwell system at a high frequency ⋮ Localized Sensitivity Analysis at High-Curvature Boundary Points of Reconstructing Inclusions in Transmission Problems ⋮ Increasing stability in the linearized inverse Schrödinger potential problem with power type nonlinearities* ⋮ Inverse source problems without (pseudo) convexity assumptions ⋮ On increasing stability in an inverse source problem with local boundary data at many wave numbers ⋮ Stability estimates for partial data inverse problems for Schrödinger operators in the high frequency limit ⋮ Stability estimates for an inverse problem for Schrödinger operators at high frequencies from arbitrary partial boundary measurements ⋮ Stability of a one-dimensional inverse source scattering problem in a multi-layered medium ⋮ Increasing stability of a linearized inverse boundary value problem for a nonlinear Schrödinger equation on transversally anisotropic manifolds ⋮ Stability estimates in a partial data inverse boundary value problem for biharmonic operators at high frequencies ⋮ High‐frequency stability estimates for a partial data inverse problem ⋮ Stability of inverse scattering problem for the damped biharmonic plate equation ⋮ Increasing Stability in the Inverse Source Problem with Attenuation and Many Frequencies ⋮ On the scientific work of Victor Isakov ⋮ Linearized inverse Schrödinger potential problem with partial data and its deep neural network inversion ⋮ Increasing Stability in Acoustic and Elastic Inverse Source Problems ⋮ On the Inverse Source Problem with Boundary Data at Many Wave Numbers ⋮ Variational source conditions and stability estimates for inverse electromagnetic medium scattering problems ⋮ Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling ⋮ Linearized Inverse Schrödinger Potential Problem at a Large Wavenumber ⋮ Applications of kinetic tools to inverse transport problems ⋮ Reconstruction of a local perturbation in inhomogeneous periodic layers from partial near field measurements ⋮ Runge approximation and stability improvement for a partial data Calderón problem for the acoustic Helmholtz equation
Cites Work
- Increasing stability for the inverse problem of the Schrödinger equation with the partial Cauchy data
- A global uniqueness theorem for an inverse boundary value problem
- Increasing stability for the Schrödinger potential from the Dirichlet-to Neumann map
- An inverse boundary value problem in electrodynamics
- On an inverse problem in electromagnetism with local data: stability and uniqueness
- Increasing stability for determining the potential in the Schrödinger equation with attenuation from the Dirichlet-to-Neumann map
- Exponential instability in an inverse problem for the Schrödinger equation
- Stable determination of the electromagnetic coefficients by boundary measurements
- Increasing stability of the inverse boundary value problem for the Schr\"odinger equation
- Inverse Boundary Value Problem for Maxwell Equations with Local Data
- Stable determination of conductivity by boundary measurements
- Electromagnetic Inverse Problems and Generalized Sommerfeld Potentials
- Increasing stability in an inverse problem for the acoustic equation
- Inverse problems for partial differential equations
This page was built for publication: Increasing Stability for the Conductivity and Attenuation Coefficients
