On the asymptotic behaviour of solutions of linear hyperbolic systems

Authors
Ammar-Khodja, F Bader, A
Citation
F. Ammar-khodja et A. Bader, On the asymptotic behaviour of solutions of linear hyperbolic systems, CR AC S I, 329(11), 1999, pp. 957-960
Citations number
6
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
329
Issue
11
Year of publication
1999
Pages
957 - 960
Database
ISI
SICI code
0764-4442(199912)329:11<957:OTABOS>2.0.ZU;2-W
Abstract
We extend a result of Neves, Lopes and Ribeiro on the computation of the es sential spectral radius of semigroups associated to one-dimensional hyperbo lic systems to the case of multiple eigenvalues. Applications to the expone ntial stabilization of systems of wave equations by one control force are p roposed. (C) 1999 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.