Geodesic

Mathematical problems in the theory of wave propagation. Part 9

Sommaire

Problem of focusing and the asymptotics of the spectral function of the Laplace--Beltrami operator.~I
p. 3-19
Explicit solution of the inverse kinematic problem in the non-Herglotz case
p. 20-29
Inverse problem of the scattering of plane waves for a class of layered media
p. 30-53
Asymptotic behavior of sums of the type $\sum_{k=m}^{n-1}\exp(i\omega\sqrt{nk})$ as $n,m\to\infty$
p. 54-59
Diffraction of short waves by a segment
p. 60-89
Behavior of the roots of the equation $w'_1(z)+\sigma w_1(z)=0$
p. 90-94
Algorithm for computing the mechanical impedances of reinforcing ribs of various shapes
p. 95-111
Boundary conditions on curves for the three-dimensional Laplace operator
p. 112-127
A shortwave source near a smooth, convex hypersurface and the spectral function of the Laplace operator on a Riemannian manifold
p. 128-133
Problem of the scattering of nonstationary waves by a one-dimensional obstacle
p. 134-137
Local degeneration of waves in a thin waveguide
p. 138-148
Wave propagation in, layered, transversally isotropic, elastic media
p. 149-173
An approach to solving problems in the case of annular, asymmetric regions
p. 174-183
Examples of exactly solvable scattering problems for the parabolic equation of diffraction theory
p. 184-202
Whispering gallery waves in a neighborhood of a flat point of a concave boundary
p. 203-210
Numerical analysis of the asymptotic formulas for the wave field reflected from a cylindrical surface with arbitrary maximal curvature
p. 211-219
Asymptotics of solutions of a differential equation of second order with two turning points and a complex parameter.~II
p. 220-245