Using a multiplier method, we establish the polynomial energy decay rate for the smooth solutions of Kirchhoff plates equations. Consequently, we obtain the strong stability in the absence of compactness of resolvent of the infinitesimal operator.
Publié le : 2004-03-08
Classification:
Kirchhoff plate,
non-compactness,
"Kirchhoff plate,
dynamical controls,
polynomial energy decay rate,
strong stability,
non-compactness",
93D20, 93D05,35B35,35B37,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-00129704,
author = {Rao, Bopeng and Wehbe, Ali},
title = {Polynomial energy decay rate and strong stability of Kirchhoff plates with non-compact resolvent},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00129704}
}
Rao, Bopeng; Wehbe, Ali. Polynomial energy decay rate and strong stability of Kirchhoff plates with non-compact resolvent. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00129704/