Stability for the multifrequency inverse medium problem
From MaRDI portal
Publication:2189796
DOI10.1016/j.jde.2020.05.021zbMath1443.35180arXiv2002.09242OpenAlexW3033187829MaRDI QIDQ2189796
Publication date: 16 June 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.09242
Classical linear elasticity (74B05) Inverse problems for PDEs (35R30) Inverse problems for waves in solid mechanics (74J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Second-order hyperbolic equations (35L10) Linear operators and ill-posed problems, regularization (47A52) PDEs in connection with mechanics of deformable solids (35Q74) Numerical solution to inverse problems in abstract spaces (65J22)
Related Items
Identification of a boundary influx condition in a one-phase Stefan problem, Increasing stability in the linearized inverse Schrödinger potential problem with power type nonlinearities*, Reconstruction of smooth shape defects in waveguides using locally resonant frequencies, Increasing stability in the inverse scattering problem for a nonlinear Schrödinger equation with multiple frequencies, Stability for the electromagnetic inverse source problem in inhomogeneous media, Layer Stripping Approach to Reconstruct Shape Variations in Waveguides Using Locally Resonant Frequencies, Mathematical analysis and numerical methods for inverse scattering problems, Stability for the Acoustic Inverse Source Problem in Inhomogeneous Media, Multifrequency Iterative Methods for the Inverse Medium Scattering Problems in Elasticity, Small defects reconstruction in waveguides from multifrequency one-side scattering data
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A global uniqueness theorem for an inverse boundary value problem
- A multi-frequency inverse source problem
- Increasing stability for the Schrödinger potential from the Dirichlet-to Neumann map
- An inverse source problem with multiple frequency data
- Distribution of poles for scattering on the real line
- Asymptotic distribution of resonances in one dimension
- Inverse source problems without (pseudo) convexity assumptions
- General lower bounds for resonances in one dimension
- Inverse acoustic obstacle scattering problems using multifrequency measurements
- Stability estimates for an inverse scattering problem at high frequencies
- Bounds on scattering poles in one dimension
- Inverse scattering by a continuation method with initial guesses from a direct imaging algorithm
- Exponential instability in an inverse problem for the Schrödinger equation
- On the multi-frequency inverse source problem in heterogeneous media
- The Concept of Heterogeneous Scattering Coefficients and Its Application in Inverse Medium Scattering
- Error Estimates for the Recurisvie Linearization of Inverse Medium Problems
- Inverse scattering problems with multi-frequencies
- Operator methods for inverse scattering on the real line
- Determining conductivity by boundary measurements
- On the relation between the velocity coefficient and boundary value for solutions of the one-dimensional wave equation
- Reconstruction Techniques for Classical Inverse Sturm-Liouville Problems
- On the inverse scattering problem for the Helmholtz equation in one dimension
- Inverse scattering on the line
- Numerical Solution of Inverse Scattering Problems with Multi-experimental Limited Aperture Data
- Increasing Stability in the Inverse Source Problem with Attenuation and Many Frequencies
- Stable determination of conductivity by boundary measurements
- Increasing stability in an inverse problem for the acoustic equation
- Inverse Medium Scattering Problems for Electromagnetic Waves
