TITLE:
Decay Rate for a Viscoelastic Equation with Strong Damping and Acoustic Boundary Conditions
AUTHORS:
Zhiyong Ma
KEYWORDS:
Viscoelastic Equation, Decay Rate, Acoustic Boundary Condition
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.4,
April
30,
2017
ABSTRACT: This paper is concerned with a nonlinear viscoelastic equation with strong damping: . The objective of the present paper is to provide some results on the long-time behavior to this equation with acoustic boundary conditions. By using the assumptions on the relaxation function due to Tatar [1], we show an arbitrary rate of decay with not necessary of an exponential or polynomial one and without the assumption condition. The result extends and improves some results given in Cavalcanti [2].