Energy decay rate of wave equations with indefinite damping.
Benaddi, Ahmed ; Rao, Bopeng
HAL, hal-00129628 / Harvested from HAL
Text on HAL
"We consider the one-dimensional wave equation with an indefinite sign damping and a zero order potential term. Using a shooting method, we establish the asymptotic expansion of eigenvalues and eigenvectors of the damped wave equation for a large class of coefficients. In addition, if the damping coefficient is "more positive than negative", we prove that the energy of system decays uniformly exponentially to zero. This generalizes a previous work of Freitas and Zuazua (1996). "
Publié le : 1999-11-09
Classification:  indefinite damping,  exponential decay rate,  "indefinite damping,  spectrum expansion,  Riesz basis,  exponential decay rate",  35C20, 35P20,35P10,93D15,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00129628,
     author = {Benaddi, Ahmed and Rao, Bopeng},
     title = {Energy decay rate of wave equations with indefinite damping.},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00129628}
}

Benaddi, Ahmed; Rao, Bopeng. Energy decay rate of wave equations with indefinite damping.. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00129628/