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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

2015, Volume 438

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Mathematical problems in the theory of wave propagation. Part 45


On inverse dynamical and spectral problems for the wave and Schrödinger equations on finite trees. The leaf peeling method
S. A. Avdonin, V. S. Mikhaylov, K. B. Nurtazina
7
Rayleigh waves concentrated in a small neighborhood of a moving curve
V. M. Babich
22
An interference head wave (Buldyrev's wave) and localization principle
V. M. Babich, A. A. Matskovskiy
36
Evolution of wave field jumps near caustics (elementary approach)
M. I. Belishev, A. F. Vakulenko, A. Ya. Kazakov
46
Simple solutions of the wave equation, singular at a ranning point, based on the complexified Bateman solution
A. S. Blagovestchenskii, A. P. Kiselev, A. M. Tagirdzhanov
73
The equation of convolution on a large finite interval with the symbol which has zeros of nonintegral powers
A. M. Budylin, S. B. Levin
83
To the question of Schröedinger operator kernel resolvent asymptotics construction in the three one-dimensional quantum particles scattering problem interacting by finite repulsive pair potentials
A. M. Budylin, S. B. Levin
95
On inverse source problem for wave equation
M. N. Demchenko
104
The ray type solution for the wave of finite deformation in the physically linear nonlinear inhomogeneous elastic medium
A. P. Kachalov
118
General surface waves in layered anisotropic elastic structures
A. P. Kiselev
133
Transmission conditions in a one-dimensional model of bifurcating blood vessel with an elastic wall
V. A. Kozlov, S. A. Nazarov
138
Weyl–Van der Poll phenomenon in acoustic diffraction by a wedge or cone with impedance boundary conditions
M. A. Lyalinov
178
Generalized trigonometric integral transformations
V. E. Petrov
203
On the Morse index calculation and the prolongation of the ray formulae beyond caustics
M. M. Popov
225
Complex WKB method for difference equations in bounded domains
A. A. Fedotov, E. V. Tschetka
236


© Steklov Math. Inst. of RAS, 2025