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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

2018, Volume 471

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Mathematical problems in the theory of wave propagation. Part 48


Aleksandr Pavlovich Kachalov (27.03.1949–01.03.2017)
The point-source of electromagnetic waves in the case of nonhomogeneous media (high-frequency ansatz and dual to him singular solution)
V. M. Babich
7
The absolutely continuous spectrum eigenfunctions asymptotics of the three one-dimensional quantum particles scattering problem
I. V. Baibulov, A. M. Budylin, S. B. Levin
15
Simplest test for two-dimensional dynamical inverse problem (the BC-method)
M. I. Belishev, N. A. Karazeeva
38
On waves generated by sources localized at infinity
A. S. Blagoveschensky
59
On the Bateman–Hörmander solution of the wave equation, having a singularity at a running point
A. S. Blagoveshchensky, A. M. Tagirdzhanov, A. P. Kiselev
76
Scattering of electromagnetic waves on the array of thin dielectric structures
S. A. Vavilov, M. S. Lytaev
86
On the Cauchy problem for the wave equation with data on the boundary
M. N. Demchenko
99
High-frequency diffraction by a contour with a jump of curvature. Limit ray
E. A. Zlobina, A. P. Kiselev
113
“Separation of variables” in the model problems of the diffraction theory. Formal scheme
A. Ya. Kazakov
124
One dimensional inverse problem in photoacoustic. Numerical testing
D. Langemann, A. S. Mikhaylov, V. S. Mikhaylov
140
Green’s function for the Helmholtz equation in a polygonal domain of special form with ideal boundary conditions
M. A. Lyalinov
150
Asymptotics of eigenvalues in spectral gaps of periodic waveguides with small singular perturbations
S. A. Nazarov
168
On Morse index for geodesic lines on smooth surfaces imbedded in $\mathbb R^3$
M. M. Popov
211
Wave model of the Sturm–Liouville operator on an interval
S. A. Simonov
225
On adiabatic normal modes in a wedge shaped sea
A. A. Fedotov
261


© Steklov Math. Inst. of RAS, 2024