Zap. Nauchn. Sem. LOMI, 1979, Volume 89

JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1979, Volume 89

Contents

Mathematical problems in the theory of wave propagation. Part 10

	A point source of oscillation in a neighbourhood of a concave mirror. II V. M. Babich	3
	The focussing problem and spectral function asymptotics of Laplace– Beltrami operator. II V. M. Babich	14
	On basilar membrane vibration in the mammalia cochlea V. M. Babich, S. M. Novoselova	54
	Inverse problem of the wave propagation theory in a stochastic medium A. S. Blagoveshchenskii	63
	Uniform dispersion equation in the multichannal problem V. S. Buldyrev, N. S. Grigor'ev	71
	The solutions of nonlinear equations concentrated near the curves on a plane S. A. Vakulenko	84
	The influence of perturbation upons solitons of some nonlinear equations S. A. Vakulenko	91
	Computing of Fock-functions V. I. Ivanov	97
	On uniform asymptotic expansions of whispering gallery eigenfunctions N. Ya. Kirpichnikova	112
	Elastic energy flow A. P. Kiselev	120
	An energy principle of uniqueness for acoustic boundary value problems D. P. Kouzov	124
	The matrix algorithm for calculation of the transformation coefficients of the waves on the rib T. S. Kravtsova	134
	The spectral function asymptotics for second order elliptic differential operator Ya. V. Kurylev	152
	On the possibility of expanding the Sohrödinger equation solution witn regard to the solutions of potential scattering problem E. G. Maltzeva, D. M. Èidus	204
	Ungtationary modes in a thin and curved waveguide of variable width I. A. Molotkov, A. B. Plachenov	210
	On the equivalence between layer-periodic and transversal-isotropic media L. A. Molotkov	219
	Propagation of quasi-stationary Rayleigh waves in a nonuniform anisotropic elastic medium V. E. Nomofilov	234
	Wave field in the caustic region in a vicinity of a boundary flex point M. M. Popov	246
	Correctness of the problem of whispering gallery waves in a vicinity of the-points where boundary's curvature vanishes M. M. Popov	261
	On calculation of wave field of the source inside a thin sphere with a slit A. M. Radin	270
	Asymptotic solution of a two scales problem of wave-propagation with a local degeneration point A. S. Starkov	275

Correction
	Letter to the editors: “Local degeneration of waves in a thin waveguide” (Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 78 (1978), 138–148) I. A. Molotkov, A. S. Starkov	286