Dimension Bounds in Monotonicity Methods for the Helmholtz Equation
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Publication:5231332
DOI10.1137/19M1240708zbMath1419.35243arXiv1901.08495OpenAlexW2963224711WikidataQ109746409 ScholiaQ109746409MaRDI QIDQ5231332
Valter Pohjola, Mikko Salo, Bastian Harrach
Publication date: 26 August 2019
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.08495
Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (15)
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 ⋮ Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation ⋮ Monotonicity-based shape reconstruction for an inverse scattering problem in a waveguide ⋮ A remark on the local uniqueness by the monotonicity based method for the magnetic Schrödinger equation ⋮ Monotonicity in inverse obstacle scattering on unbounded domains ⋮ Monotonicity in inverse scattering for Maxwell's equations ⋮ Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem ⋮ Monotonicity-Based Inversion of the Fractional Schrödinger Equation II. General Potentials and Stability ⋮ Monotonicity-based Inversion of the Fractional Schrödinger Equation I. Positive Potentials ⋮ The monotonicity method for the inverse crack scattering problem ⋮ Remarks on the factorization and monotonicity method for inverse acoustic scatterings ⋮ The monotonicity principle for magnetic induction tomography ⋮ Monotonicity Principle in tomography of nonlinear conducting materials *
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