Achieving arbitrarily large decay in the damped wave equation

Authors
Citation
C. Castro et Sj. Cox, Achieving arbitrarily large decay in the damped wave equation, SIAM J CON, 39(6), 2001, pp. 1748-1755
Citations number
4
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN journal
03630129 → ACNP
Volume
39
Issue
6
Year of publication
2001
Pages
1748 - 1755
Database
ISI
SICI code
0363-0129(20010412)39:6<1748:AALDIT>2.0.ZU;2-4
Abstract
We exhibit a sequence of viscous dampings for the fixed string that yields arbitrarily fast attenuation of any and all initial disturbances. The limit case produces extinction of all solutions in finite time.