Lipschitz stability for an inverse source scattering problem at a fixed frequency *
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Publication:5148426
DOI10.1088/1361-6420/abd3b4zbMath1458.35482arXiv2007.09900OpenAlexW3110907006MaRDI QIDQ5148426
Peijun Li, Jian Zhai, Yue Zhao
Publication date: 4 February 2021
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.09900
Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (4)
Stability of a one-dimensional inverse source scattering problem in a multi-layered medium ⋮ Stability of inverse random source scattering problems in a multi-layered medium ⋮ On reconstruction of small sources from Cauchy data at a fixed frequency ⋮ Determination of piecewise homogeneous sources for elastic and electromagnetic waves
Cites Work
- Unnamed Item
- Uniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurements
- Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities
- A global uniqueness theorem for an inverse boundary value problem
- A multi-frequency inverse source problem
- Corners always scatter
- Inverse acoustic and electromagnetic scattering theory.
- Acoustic scattering from corners, edges and circular cones
- Stability for the inverse source problems in elastic and electromagnetic waves
- Lipschitz stability for the finite dimensional fractional Calderón problem with finite Cauchy data
- Increasing stability for the inverse source scattering problem with multi-frequencies
- A remark on Lipschitz stability for inverse problems
- A remark on a paper by Alessandrini and Vessella
- Lipschitz stability for the inverse conductivity problem
- Increasing stability in the inverse source problem with many frequencies
- Lipschitz Stability of an Inverse Boundary Value Problem for a Schrödinger-Type Equation
- On the multi-frequency inverse source problem in heterogeneous media
- Lipschitz continuous dependence of piecewise constant Lamé coefficients from boundary data: the case of non-flat interfaces
- Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves
- An inverse source problem for Helmholtz's equation from the Cauchy data with a single wave number
- Lipschitz Stability for the Electrical Impedance Tomography Problem: The Complex Case
- An Inverse Source Problem for Maxwell's Equations in Magnetoencephalography
- Lipschitz stability for a stationary 2D inverse problem with unknown polygonal boundary
- Inverse scattering problems with multi-frequencies
- Nonuniqueness in the inverse source problem in acoustics and electromagnetics
- Reconstruction of a source domain from the Cauchy data
- The scattering support
- Nonradiating Sources and Transmission Eigenfunctions Vanish at Corners and Edges
- Uniqueness and Lipschitz stability in electrical impedance tomography with finitely many electrodes
- The unique determination of neuronal currents in the brain via magnetoencephalography
- Recovering piecewise constant refractive indices by a single far-field pattern
- Stable determination of polygonal inclusions in Calderón’s problem by a single partial boundary measurement
- Stability for the Acoustic Inverse Source Problem in Inhomogeneous Media
- CALDERÓN’S INVERSE PROBLEM WITH A FINITE NUMBER OF MEASUREMENTS
- A Recursive Algorithm for MultiFrequency Acoustic Inverse Source Problems
- Notions of support for far fields
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