Phaseless inverse problems for Schrödinger, Helmholtz, and Maxwell equations

DOI10.1134/S0965542520060093zbMath1450.81059OpenAlexW3046383706MaRDI QIDQ2207584

Vladimir G. Romanov

Publication date: 23 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520060093

zbMATH Keywords

Maxwell's equationsSchrödinger equationHelmholtz equationtomographyinverse kinematic problemphaseless inverse problems

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse problems for PDEs (35R30) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Inverse scattering problems in quantum theory (81U40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Maxwell equations (35Q61)

Related Items (6)

Phaseless problem of determination of anisotropic conductivity in electrodynamic equations ⋮ The problem of determining the memory of an environment with weak horizontal heterogeneity ⋮ Approximate Lipschitz stability for phaseless inverse scattering with background information ⋮ Some recent developments in the unique determinations in phaseless inverse acoustic scattering theory ⋮ Problem of determining the anisotropic conductivity in electrodynamic equations ⋮ Fixed-distance multipoint formulas for the scattering amplitude from phaseless measurements

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