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Phaseless Inverse Problems for Schrödinger, Helmholtz, and Maxwell Equations

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Abstract

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.

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Funding

This work was supported by the Mathematical Center in Akademgorodok and the Ministry of Science and Higher Education of the Russian Federation, contract no. 075-15-2019-1613.

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  1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, 630090, Novosibirsk, Russia

    V. G. Romanov

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  1. V. G. Romanov
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Correspondence to V. G. Romanov.

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Translated by I. Ruzanova

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Romanov, V.G. Phaseless Inverse Problems for Schrödinger, Helmholtz, and Maxwell Equations. Comput. Math. and Math. Phys. 60, 1045–1062 (2020). https://doi.org/10.1134/S0965542520060093

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