The Maslov canonical operator on Lagrangian manifolds in the phase space corresponding to a wave equation degenerating on the boundary
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Publication:2342361
DOI10.1134/S0001434614070268zbMath1330.53108OpenAlexW2015038512MaRDI QIDQ2342361
Publication date: 11 May 2015
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434614070268
Related Items (17)
Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for 2D standing coastal waves ⋮ Uniform asymptotics of the boundary values of the solution in a linear problem on the run-up of waves on a shallow beach ⋮ Asymptotics of eigenfunctions of the bouncing ball type of the operator \(\nabla D(x)\nabla\) in a domain bounded by semirigid walls ⋮ Lagrangian tori and quantization conditions corresponding to spectral series of the Laplace operator on a surface of revolution with conical points ⋮ Another Billiard problem ⋮ Nonlinear long standing waves with support bounded by caustics or localized in the vicinity of a two-link trajectory ⋮ Nonlinear effects and run-up of coastal waves generated by billiards with semi-rigid walls in the framework of shallow water theory ⋮ Uniformization and semiclassical asymptotics for a class of equations degenerating on the boundary of a manifold ⋮ Simple asymptotics for a generalized wave equation with degenerating velocity and their applications in the linear long wave run-up problem ⋮ Fock Quantization of Canonical Transformations and Semiclassical Asymptotics for Degenerate Problems ⋮ Characteristics with singularities and the boundary values of the asymptotic solution of the Cauchy problem for a degenerate wave equation ⋮ Method for the analysis of long water waves taking into account reflection from a gently sloping beach ⋮ On the run-up for two-dimensional shallow water in the linear approximation ⋮ Representation of Bessel functions by the Maslov canonical operator ⋮ Nonstandard Lagrangian singularities and asymptotic eigenfunctions of the degenerating operator \(- \frac{d}{dx}D (x)\frac{d}{dx}\) ⋮ Asymptotic eigenfunctions of the operator \(\nabla D(x)\nabla\) defined in a two-dimensional domain and degenerating on its boundary and billiards with semi-rigid walls ⋮ Semiclassical theory for plasmons in spatially inhomogeneous media
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