EXISTENCE OF RAYLEIGH RESONANCES EXPONENTIALLY CLOSE TO THE REAL AXIS

Authors
VODEV G
Citation
G. Vodev, EXISTENCE OF RAYLEIGH RESONANCES EXPONENTIALLY CLOSE TO THE REAL AXIS, Annales de l'I.H.P. Physique theorique, 67(1), 1997, pp. 41-57
Citations number
11
Categorie Soggetti
Physics
Journal title
Annales de l'I.H.P. Physique theorique → ACNP
ISSN journal
02460211
Volume
67
Issue
1
Year of publication
1997
Pages
41 - 57
Database
ISI
SICI code
0246-0211(1997)67:1<41:EORREC>2.0.ZU;2-X
Abstract
The resonances associated to the Neumann problem in linear elasticity outside a compact obstacle with analytic boundary are studied. When th e space dimension is odd we prove that there exits an infinite sequenc e of resonances tending to the real axis exponentially fast thus exten ding the result of [7] in the C-infinity case, Moreover, we get a larg e region free of resonances under the same assumptions as in [4].