Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-25T02:14:51.414Z Has data issue: false hasContentIssue false
  • English
  • Français

Lacunas in two-dimensional wave propagation

Published online by Cambridge University Press:  24 October 2008

R. Burridge
R. Burridge
Affiliation:
Department of Applied Mathematics and Theoretical Physics, Cambridge
Get access Rights & Permissions [Opens in a new window]

Abstract

A simple sufficient condition is given for the existence of a lacuna in two-dimensional wave propagation governed by an equation of the second order. This work was inspired by Petrowsky's very general work (Petrowsky (3)) but for waves in two space dimensions we do not need the sophisticated machinery developed by him.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 3 , July 1967 , pp. 819 - 825
Copyright
Copyright © Cambridge Philosophical Society 1967

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Weitzner, H. Research Rep. No. NYO-9489 (1960).Google Scholar
(2)Kraut, E. A. Ph.D. thesis, University of California, Los Angeles (1962).Google Scholar
(3)Petrowsky, I. G.Rec. Math. [Mat. Sbornik], 17 (1945), 289.Google Scholar
(4)Miller, G. F. and Musgrave, M. J. P.Proc. Roy. Soc. London, Ser. A 236 (1956), 352.Google Scholar
(5)Gelfand, I. M. and Shilov, G. E.Generalized functions, vol. I (Academic Press, 1964).Google Scholar
(6)Lighthill, M. J.Philos. Trans. Roy. Soc. London, Ser. A 252 (1960), 397.Google Scholar
(7)Courant, R. and Hilbert, D.Methods of mathematical physics, vol. II (Interscience, 1962).Google Scholar