Asymptotics of eigenfunctions of the bouncing ball type of the operator \(\nabla D(x)\nabla\) in a domain bounded by semirigid walls

DOI10.1134/S0012266121020117zbMath1460.81032OpenAlexW3135989725MaRDI QIDQ2659264

A. I. Klevin

Publication date: 26 March 2021

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266121020117

zbMATH Keywords

Maslov canonical operatorsemirigid walls

Mathematics Subject Classification ID

Hamilton's equations (70H05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Lagrangian submanifolds; Maslov index (53D12) Boundary value problems for linear higher-order PDEs (35G15)

Related Items (2)

New integral representations for the Maslov canonical operator on an isotropic manifold with a complex germ ⋮ Nonlinear long standing waves with support bounded by caustics or localized in the vicinity of a two-link trajectory

Cites Work

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• Fourier integral operators. I
• Fourier integrals and a new representation of Maslov's canonical operator near caustics
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