Nonstandard Lagrangian singularities and asymptotic eigenfunctions of the degenerating operator \(- \frac{d}{dx}D (x)\frac{d}{dx}\)

DOI10.1134/S0081543819050080zbMath1452.34085OpenAlexW2998351062MaRDI QIDQ2302976

S. Yu. Dobrokhotov, Vladimir E. Nazaikinskii

Publication date: 26 February 2020

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

Full work available at URL: https://doi.org/10.1134/s0081543819050080

zbMATH Keywords

wave beamMaslov's canonical operatordegenerating operator

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (5)

Local asymptotics of unfoldings of edge and corner catastrophes ⋮ Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for 2D standing coastal waves ⋮ Asymptotics of eigenfunctions of the bouncing ball type of the operator \(\nabla D(x)\nabla\) in a domain bounded by semirigid walls ⋮ Asymptotics of long nonlinear propagating waves in a one-dimensional basin with gentle shores ⋮ Fock Quantization of Canonical Transformations and Semiclassical Asymptotics for Degenerate Problems

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