Tools
Tools
Bégout, Pascal
and Soria de Diego, Fernando
(2007)
A generalized interpolation inequality and its application to the stabilization of damped equations.
Journal of Differential Equations, Vol. 240 (N° 2).
pp. 324-356.
Preview |
Text
Download (466kB) | Preview |
Official URL : http://tse-fr.eu/pub/10532
Identification Number : 10.1016/j.jde.2007.06.003
Abstract
In this paper, we establish a generalized Hölder's or interpolation inequality for weighted spaces in which the weights are non-necessarily homogeneous. We apply it to the stabilization of some damped wave-like evolution equations. This allows obtaining explicit decay rates for smooth solutions for more general classes of damping operators. In particular, for 1−d models, we can give an explicit decay estimate for pointwise damping mechanisms supported on any strategic point.
| Item Type: | Article |
|---|---|
| Language: | English |
| Date: | 15 September 2007 |
| Refereed: | Yes |
| Place of Publication: | Amsterdam |
| Uncontrolled Keywords: | Damped equations, Damping control, Generalized Hölder's inequality, Interpolation inequality, Stabilization |
| Subjects: | B- ECONOMIE ET FINANCE |
| Divisions: | TSE-R (Toulouse) |
| Site: | UT1 |
| Date Deposited: | 16 Apr 2025 13:11 |
| Last Modified: | 16 Apr 2025 13:11 |
| OAI Identifier: | oai:tse-fr.eu:10532 |
| URI: | https://publications.ut-capitole.fr/id/eprint/35022 |
