Phaseless Inverse Problems for Schrödinger, Helmholtz, and Maxwell Equations

A survey of recent research concerning phaseless inverse problems for several differential equations is given. Mainly, the surveyed studies were performed over the last five years, although their importance of this subject for quantum scattering theory was noted more than 40 years ago. Problem formu...

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Bibliographic Details
Published inComputational mathematics and mathematical physics Vol. 60; no. 6; pp. 1045 - 1062
Main Author Romanov, V. G.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.06.2020
Springer Nature B.V
Subjects
Computational Mathematics and Numerical Analysis
Differential equations
Inverse problems
Mathematical analysis
Mathematics
Mathematics and Statistics
Maxwell's equations
Helmholtz equation
inverse kinematic problem
tomography
Schrödinger equation
phaseless inverse problems
Maxwell’s equations
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Summary:A survey of recent research concerning phaseless inverse problems for several differential equations is given. Mainly, the surveyed studies were performed over the last five years, although their importance of this subject for quantum scattering theory was noted more than 40 years ago. Problem formulations and results are presented, and the basic ideas underlying the research are described.
Bibliography:ObjectType-Article-1
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ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542520060093