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JOURNALS // Uspekhi Matematicheskikh Nauk // Archive

Uspekhi Mat. Nauk, 2016 Volume 71, Issue 3(429), Pages 123–148 (Mi rm9716)

This article is cited in 1 paper

New approaches to inverse scattering

V. P. Palamodov

Tel Aviv University, Tel Aviv, Israel

Abstract: A survey is given of known and new mathematical methods which produce exact analytic results in problems of reconstructing the medium from scattering data.
Bibliography: 42 titles.

Keywords: Cormack scattering, Bragg scattering, Compton scattering, monochromatic scattering, phase contrast method, time-reversal approach, oscillatory polynomials, hyperbolic geometry.

UDC: 517.951+535.4

MSC: Primary 35R30, 44A12, 45Q05; Secondary 35L15

Received: 25.12.2015

DOI: 10.4213/rm9716


 English version:
Russian Mathematical Surveys, 2016, 71:3, 513–537

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© Steklov Math. Inst. of RAS, 2025