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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 6, Pages 1074–1092
DOI: https://doi.org/10.31857/S0044466920060095 (Mi zvmmf11097) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Phaseless inverse problems for Schrödinger, Helmholtz, and Maxwell equations

V. G. Romanov

Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
Citations (9)
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DOI: https://doi.org/10.31857/S0044466920060095
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.
Key words: phaseless inverse problems, Schrödinger equation, Helmholtz equation, Maxwell's equations, tomography, inverse kinematic problem.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 075-15-2019-1613
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.
Received: 21.11.2019
Revised: 21.11.2019
Accepted: 11.01.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 6, Pages 1045–1062
DOI: https://doi.org/10.1134/S0965542520060093
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. G. Romanov, “Phaseless inverse problems for Schrödinger, Helmholtz, and Maxwell equations”, Zh. Vychisl. Mat. Mat. Fiz., 60:6 (2020), 1074–1092; Comput. Math. Math. Phys., 60:6 (2020), 1045–1062
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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