TY - JOUR
T1 - Asymptotic behaviors of solutions for viscoelastic wave equation with space-time dependent damping term
AU - Said-Houari, Belkacem
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2012/3
Y1 - 2012/3
N2 - In this paper, we consider a viscoelastic wave equation with an absorbing term and space-time dependent damping term. Based on the weighted energy method, and by assuming that the kernel decaying exponentially, we obtain the L2 decay rates of the solutions. More precisely, we show that the decay rates are the same as those obtained in Lin et al. (2010) [15] for the semilinear wave equation with absorption term. © 2011 Elsevier Inc.
AB - In this paper, we consider a viscoelastic wave equation with an absorbing term and space-time dependent damping term. Based on the weighted energy method, and by assuming that the kernel decaying exponentially, we obtain the L2 decay rates of the solutions. More precisely, we show that the decay rates are the same as those obtained in Lin et al. (2010) [15] for the semilinear wave equation with absorption term. © 2011 Elsevier Inc.
UR - http://hdl.handle.net/10754/562102
UR - https://linkinghub.elsevier.com/retrieve/pii/S0022247X11009589
UR - http://www.scopus.com/inward/record.url?scp=80255138839&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2011.10.017
DO - 10.1016/j.jmaa.2011.10.017
M3 - Article
SN - 0022-247X
VL - 387
SP - 1088
EP - 1105
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -