Zap. Nauchn. Sem. POMI, 2021, Volume 506

RUS ENG

JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

2021, Volume 506

|

General information

|

Contents

|

Mathematical problems in the theory of wave propagation. Part 51

	Mikhail Mikhailovich Popov V. M. Babich, M. I. Belishev, M. N. Demchenko, G. L. Zavorokhin, V. V. Zalipaev, N. Ya. Kirpichnikova, A. P. Kiselev, D. V. Korikov, A. S. Mikhailov, S. A. Simonov, Z. A. Yanson		7
	Comments to deducing the formulas for gaussian quasiphotons by the complex space-times ray methods (STRM) V. M. Babich		9
	Space-time ray method for whispering gallery waves V. M. Babich		15
	Toeplitz matrices in the BC-method for the plane domains M. I. Belishev, N. A. Karazeeva		21
	On expansions over harmonic polynomial products in ${\mathbb R}^3$ A. F. Vakulenko		36
	Diffraction of short waves by a contour with Hölder singularity of curvature. Transition zone E. A. Zlobina		43
	Canonical representation of eiconals algebra of three-ray star A. V. Kaplun		57
	On the topology of surfaces with a common boundary and close DN-maps D. V. Korikov		79
	Clarification of the distorted six-dimensional plane wave type solution asymptotics of the quantum scattering problem of three charged particles S. B. Levin		89
	Long-time evolution described by the unitary group of the Mehler operator M. A. Lyalinov		98
	Construction of solutions of Toda lattices by the classical moment problem A. S. Mikhailov, V. S. Mikhailov		113
	A model of a plane deformation state of a two-dimensional plate with small almost periodic clamped parts of the edge S. A. Nazarov, J. Taskinen		130
	Scattering coefficients and threshold resonances in a waveguide with inflating resonator S. A. Nazarov, K. M. Ruotsalainen, P. J. Uusitalo		175
	New concept of surface waves of interference nature. Creeping waves M. M. Popov		210
	On monodromy matrices for a difference Schrödinger equation on the real line with a small periodic potential K. S. Sedov, A. A. Fedotov		223
	Asymptotic behavior of solutions to a nonstationary equation Schrödinger on a semi-axle with a potential which is slowly depends on time V. V. Sukhanov		245
	The Cauchy problem for the Korteweg–de Vries equation in the class of periodic infinite-gap functions A. B. Hasanov, T. G. Hasanov		258
	On a self-similar behavior of logarithmic sums A. A. Fedotov, I. I. Lukashova		279
	Corrigendum to "On the Morse index for geodesic lines on smooth surfaces embedded in $\mathbb R^3$" M. M. Popov		293

© Steklov Math. Inst. of RAS, 2025