Lacunas in two-dimensional wave propagation
- 1 July 1967
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 63 (3) , 819-825
- https://doi.org/10.1017/s0305004100041803
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.Keywords
This publication has 2 references indexed in Scilit:
- Studies on Magneto-Hydrodynamic Waves and other Anisotropic wave motionsPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1960
- On the propagation of elastic waves in aeolotropic media. III. Media of cubic symmetryProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1956