TY - JOUR
T1 - Exponential decay for solutions to semilinear damped wave equation
AU - Gerbi, Stéphane
AU - Said-Houari, Belkacem
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: The second author was supported by MIRA 2007 project of the Region Rhone-Alpes. This author wishes to thank Univ. de Savoie of Chambery for its kind hospitality. Moreover, the two authors wish to thank the referee for his useful remarks and his careful reading of the proofs presented in this paper.
PY - 2011/10/21
Y1 - 2011/10/21
N2 - This paper is concerned with decay estimate of solutions to the semilinear wave equation with strong damping in a bounded domain. Intro- ducing an appropriate Lyapunov function, we prove that when the damping is linear, we can find initial data, for which the solution decays exponentially. This result improves an early one in [4].
AB - This paper is concerned with decay estimate of solutions to the semilinear wave equation with strong damping in a bounded domain. Intro- ducing an appropriate Lyapunov function, we prove that when the damping is linear, we can find initial data, for which the solution decays exponentially. This result improves an early one in [4].
UR - http://hdl.handle.net/10754/561896
UR - http://aimsciences.org//article/doi/10.3934/dcdss.2012.5.559
UR - http://www.scopus.com/inward/record.url?scp=84864484481&partnerID=8YFLogxK
U2 - 10.3934/dcdss.2012.5.559
DO - 10.3934/dcdss.2012.5.559
M3 - Article
SN - 1937-1632
VL - 5
SP - 559
EP - 566
JO - Discrete and Continuous Dynamical Systems - Series S
JF - Discrete and Continuous Dynamical Systems - Series S
IS - 3
ER -