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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

2017, Volume 461

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Mathematical problems in the theory of wave propagation. Part 47


The localization principle and high-frequency asymptotics of an interference head wave
V. M. Babich
7
Few one-dimensional quantum particles scattering problem. The structure and asymptotics of the resolvent kernel limit values
I. V. Baybulov, A. M. Budylin, S. B. Levin
14
Local boundary controllability in classes of differentiable functions for the wave equation
M. I. Belishev
52
Some aspects of the scattering problem for the system of three charged particles
A. M. Budylin, Ya. U. Koptelov, S. B. Levin
65
Modelling equation of electromagnetic scattering on thin dielectric structures
S. A. Vavilov, M. S. Lytaev
95
Justification of the wavelet-based integral representation of a solution of the wave equation
E. A. Gorodnitskiy, M. V. Perel
107
Comparison of asymptotic and numerical approaches to the study of the resonant tunneling in a two-dimensional symmetric quantum waveguide of variable cross-section
M. M. Kabardov, B. A. Plamenevskiy, O. V. Sarafanov, N. M. Sharkova
124
The weak solutions of Hopf type to 2D Maxwell flows with infinite number of relaxation times
N. A. Karazeeva
140
Leontovich–Fock parabolic equation method in the Neumann diffracion problem on a prolate body of revolution
A. S. Kirpichnikova, N. Ya. Kirpichnikova
148
Model of saccular aneurysm of the bifurcation node of the artery
V. A. Kozlov, S. A. Nazarov
174
Wave field near a narrow convex impedance cone completely illuminated by a plane incident wave
M. A. Lyalinov, S. V. Polianskaya
195
On an inverse dynamic problem for the wave equation with a potential on a real line
A. S. Mikhaylov, V. S. Mikhaylov
212
Scattering amplitudes in a neighborhood of the limit rays in shortwave diffraction problems of a plane wave by elongated bodies of revolution
M. M. Popov, N. M. Semtchenok
232
On the computations of scattering amplitudes in the problems of diffraction by elongated bodies of revolution
M. M. Popov, N. M. Semtchenok
254
Asymptotics of the resonant tunneling of high-energy electrons in two-dimensional quantum waveguides of variable cross-section
O. V. Sarafanov
260
On minimal entire solutions of the one-dimensional difference Schrödinger equation with the potential $v(z)=e^{-2\pi iz}$
A. A. Fedotov
279


© Steklov Math. Inst. of RAS, 2024