Conjugate operators from dispersion curves for perturbations of fibered systems in cylinders

Authors
Bouhennache, T Sahbani, J
Citation
T. Bouhennache et J. Sahbani, Conjugate operators from dispersion curves for perturbations of fibered systems in cylinders, COMM PART D, 26(7-8), 2001, pp. 1091-1115
Citations number
22
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
03605302 → ACNP
Volume
26
Issue
7-8
Year of publication
2001
Pages
1091 - 1115
Database
ISI
SICI code
0360-5302(2001)26:7-8<1091:COFDCF>2.0.ZU;2-L
Abstract
We study the spectral properties of elliptic systems on perturbed fibered c ylinders. This general framework covers the acoustic and elastic cylinders. Although the electromagnetic case does not exactly fit into this framework , we prove similar results for it. Our approach is based on constructing an appropriate conjugate operator using general properties of the dispersion curves.