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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1975, Volume 51

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Mathematical problems in the theory of wave propagation. Part 7


High-frequency point source of oscillation in a neighbourhood of a concave mirror
V. M. Babich
5
Asymptotical properties of solutions of some three-dimensional problems
V. M. Babich, N. S. Grigor'ev
20
Inverse problems of finding boundary condition in the theory of propagation of nonstationary waves. I
A. S. Blagoveshchenskii, K. K. Lavrent'ev
78
On the calculation of the function $G_M(\gamma)$
V. S. Buldyrev, A. I. Lanin
85
An estimate of a wave field in a shadow zone in the case of diffraction of spherical wave by infinitely smooth surface
N. S. Grigor'ev
93
Coordinate asymptotic for Schrödinger equation with a rapidly oscillating potential
A. R. Its, V. B. Matveev
119
Focusing of the WKB-solutions of the equation $[\Delta+k^2n^2(x)]u=0$, $k\to\infty$
A. P. Kiselev
123
Inverse problems of the finding boundary condition in the theory of propagation of nonstationary waves. II
K. K. Lavrent'ev
129
A contrexample to the Arnold's hypothesis on eigenvibrations of the membrane
V. F. Lazutkin, Yu. A. Hodkov
134
To the investigation of Green function's asymptotic of waveguide propagation near the conducting sphere surface problem
A. A. Nedelin
138
On resonance series separating onto the “nonphysical” sheet
S. V. Petras
155
An addition to the work “Diffraction loses of confocal resonator with mirrors of arbitrary shape”
M. M. Popov
170
Short-wave asymptotic for the current in the problem of diffraction by nonplane screens
V. B. Filippov
172
Rieman surface of quasiimpulse and the theory of scattering for disturbed Hill operator
N. E. Firsova
183
On some special solutions for Helmholtz equation
N. V. Zepelev
197
On the virtual state of Schrödinger equation
D. R. Yafaev
203


© Steklov Math. Inst. of RAS, 2025