Exponential decay for the semilinear wave equation with source terms
Electronic journal of differential equations, Tome 2006 (2006)
In this paper, we prove that for a semilinear wave equation with source terms, the energy decays exponentially as time approaches infinity. For this end we use the the multiplier method.
Classification :
35L05, 35L15, 35L20
Keywords: wave equation, source terms, exponential decay, multiplier method
Keywords: wave equation, source terms, exponential decay, multiplier method
@article{EJDE_2006__2006__a38,
author = {Fan, Jishan and Wu, Hongwei},
title = {Exponential decay for the semilinear wave equation with source terms},
journal = {Electronic journal of differential equations},
year = {2006},
volume = {2006},
zbl = {1112.35024},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a38/}
}
Fan, Jishan; Wu, Hongwei. Exponential decay for the semilinear wave equation with source terms. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a38/