The mathematical theory of diffraction ( a survey of some investigations carried out in the laboratory of mathematical problems of geophysics, Leningrad branch of the Mathematical Institute)

zbMath0850.01021MaRDI QIDQ1812568

Vasilii M. Babich

Publication date: 25 June 1992

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

History of mathematics at institutions and academies (non-university) (01A74) Scattering theory for PDEs (35P25) Diffraction, scattering (78A45) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Research exposition (monographs, survey articles) pertaining to optics and electromagnetic theory (78-02)

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Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for 2D standing coastal waves ⋮ Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems ⋮ Asymptotics of wave functions of the stationary Schrödinger equation in the Weyl chamber ⋮ Geometrization of the Leading Term in Acoustic Gaussian Beams

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