论文信息 - ON THE ASYMPTOTICS OF GREEN′S FUNCTIONS FOR CERTAIN WAVE PROBLEMS. I. STATIONARY CASE

ON THE ASYMPTOTICS OF GREEN′S FUNCTIONS FOR CERTAIN WAVE PROBLEMS. I. STATIONARY CASE

First part of paper. The paper is concerned with the study of asymptotic properties of the Green function for the Neumann problem in the exterior of a planar convex domain for the Helmholtz equation. Figures: 1. Bibliography: 10 items.

V. M. Babič

[1] D. Ludwig,et al. The generalized huyghens' principle for reflecting bodies , 1969 .

[2] D. Ludwig,et al. An inequality for the reduced wave operator and the justification of geometrical optics , 1968 .

[3] Donald Ludwig,et al. Uniform Asymptotic Expansion of the Field Scattered by a Convex Object at High Frequencies , 1967 .

[4] R. Grimshaw. High‐frequency scattering by finite convex regions , 1966 .

[5] R. MacCamy. Low frequency acoustic oscillations , 1965 .

[6] E. C. Zachmanoglou. The decay of solutions of the initial-boundary value problem for the wave equation in unbounded regions , 1962 .

[7] H. Reichardt. Ausstrahlungsbedingungen für die Wellengleichung , 1960 .

[8] F. Ursell,et al. On the short-wave asymptotic theory of the wave equation (∇2 + k2)ø = 0 , 1957, Mathematical Proceedings of the Cambridge Philosophical Society.

[9] C. Morawetz. The limiting amplitude principle , 1962 .

[10] N. Kazarinoff,et al. Scalar diffraction theory and turning-point problems , 1960 .