Lagrangian manifolds and efficient short-wave asymptotics in a neighborhood of a caustic cusp

DOI10.1134/S0001434620090023zbMath1483.53094OpenAlexW3094904636MaRDI QIDQ2210375

S. Yu. Dobrokhotov, Vladimir E. Nazaikinskii

Publication date: 6 November 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620090023

zbMATH Keywords

cuspsemiclassical asymptoticscausticPearcey functioncanonical operatorefficient formula

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Lagrangian submanifolds; Maslov index (53D12)

Related Items (7)

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 ⋮ Plancherel–Rotach type asymptotic formulae for multiple orthogonal Hermite polynomials and recurrence relations ⋮ Asymptotics of the Helmholtz equation solutions in a two-layer medium with a localized right-hand side ⋮ Constructive implementation of semiclassical asymptotic formulas in a neighborhood of a generic caustic cusp ⋮ Representation of Bessel functions by the Maslov canonical operator ⋮ Constructive semiclassical asymptotics of bound states of graphene in a constant magnetic field with small mass

Uses Software

• DLMF

Cites Work

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