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Zapiski Nauchnykh Seminarov POMI
Tome 516 (2022)
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Mathematical problems in the theory of wave propagation. Part 52


Space-time ray method and quasiphotons of whispering gallery
V. M. Babich ; M. V. Babich
p. 5-19

Sturm-Liouville operators with $W^{-1,1}$-matrix potentials
Ya. I. Granovskiy ; M. M. Malamud
p. 20-39

Asymptotic properties of solutions to a certain ultrahyperbolic equation
M. N. Demchenko
p. 40-64

On the unitary invariants of the family of one-dimensional subspaces
D. V. Korikov
p. 65-68

On characteristic determinants of boundary value problems for Dirac type systems
A. Lunev ; M. Malamud
p. 69-120

Eigenfunctions of the essential spectrum of the Laplace operator in an angle with the Robin--Neumann boundary conditions
M. A. Lyalinov ; N. S. Fedorov
p. 121-134

Homogenization of the multidimensional parabolic equations with periodic coefficients at the edge of a spectral gap
A. A. Mishulovich
p. 135-175

Asymptotic analysis of the spectrum of a quantum waveguide with a wide Neumann ``window'' in the light of mechanics of cracks
S. A. Nazarov
p. 176-237

A method for approximate computation of the scattering matrix in acoustic diffraction gratings
B. A. Plamenevsky ; A. S. Poretsky ; O. V. Sarafanov
p. 238-252

Asymptotic solutions of the wave equation localized in a tabular vicinity of the geodesics and the Fock problem in $3D$
M. M. Popov
p. 253-266

Greeping waves in the chadow area of the $3D$ Fock problem
M. M. Popov
p. 267-274
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