Monotonicity in Inverse Medium Scattering on Unbounded Domains
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Publication:4686722
DOI10.1137/18M1171679zbMath1400.35232arXiv1802.06264WikidataQ59895830 ScholiaQ59895830MaRDI QIDQ4686722
Bastian Harrach, Roland Griesmaier
Publication date: 4 October 2018
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.06264
Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)
Related Items (23)
Inverse medium scattering for a nonlinear Helmholtz equation ⋮ Monotonicity-based inversion of fractional semilinear elliptic equations with power type nonlinearities ⋮ The factorization and monotonicity method for the defect in an open periodic waveguide ⋮ Inside-outside duality for a class of modified transmission eigenvalues ⋮ Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation ⋮ Monotonicity-based shape reconstruction for an inverse scattering problem in a waveguide ⋮ Monotonicity in inverse obstacle scattering on unbounded domains ⋮ Monotonicity in inverse scattering for Maxwell's equations ⋮ Uniqueness and Lipschitz stability in electrical impedance tomography with finitely many electrodes ⋮ Global Uniqueness and Lipschitz-Stability for the Inverse Robin Transmission Problem ⋮ Lipschitz stability estimate and reconstruction of Lamé parameters in linear elasticity ⋮ Uniqueness, Lipschitz Stability, and Reconstruction for the Inverse Optical Tomography Problem ⋮ Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem ⋮ On Localizing and Concentrating Electromagnetic Fields ⋮ Monotonicity-Based Inversion of the Fractional Schrödinger Equation II. General Potentials and Stability ⋮ Dimension Bounds in Monotonicity Methods for the Helmholtz Equation ⋮ Monotonicity-based Inversion of the Fractional Schrödinger Equation I. Positive Potentials ⋮ Inside–outside duality with artificial backgrounds ⋮ The monotonicity method for the inverse crack scattering problem ⋮ Remarks on the factorization and monotonicity method for inverse acoustic scatterings ⋮ Erratum: Monotonicity in Inverse Medium Scattering on Unbounded Domains ⋮ The monotonicity principle for magnetic induction tomography ⋮ Monotonicity Principle in tomography of nonlinear conducting materials *
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