By means of global Carleman-type estimate, we study the stabilization problem of the wave equations with potential and indefinite damping. The energy decay rate of the system is given explicitly. Also, we obtain an upper bound estimate on the negative damping to guarantee the energy of the system decays exponentially.
Publié le : 2002-04-29
Classification:
Stabilization,
Carleman estimate,
"Stabilization,
energy decay rate,
wave equation,
indefinite damping,
observability inequality,
Carleman estimate.",
93D15, 35B35,93B07,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-00129676,
author = {Liu, Kangshen and Rao, Bopeng and Zhang, Xu},
title = {Stabilization of the Wave Equations with Potential and Indefinite Damping},
journal = {HAL},
volume = {2002},
number = {0},
year = {2002},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00129676}
}
Liu, Kangshen; Rao, Bopeng; Zhang, Xu. Stabilization of the Wave Equations with Potential and Indefinite Damping. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00129676/