We consider the stability of wave equations with local viscoelastic damping distributed around the boundary of domain. We show that the energy of the system goes uniformly and exponentially to zero for all initial data of finite energy.
Publié le : 2004-07-05
Classification:
93D15, 35L20, 74D05, 74H40, 93C20,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC],
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-00084289,
author = {Liu, Kangsheng and Rao, Bopeng},
title = {Stabilit\'e exponentielle des \'equations des ondes avec amortissement local de Kelvin-Voigt},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {fr},
url = {http://dml.mathdoc.fr/item/hal-00084289}
}
Liu, Kangsheng; Rao, Bopeng. Stabilité exponentielle des équations des ondes avec amortissement local de Kelvin-Voigt. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00084289/