Cavalcanti, M.M., Domingos Cavalcanti, V.N. and Martinez, P. (2008) General Decay Rate Estimates for Viscoelastic Dissipative Systems. Nonlinear Analysis, 68, 177-193.
has been cited by the following article:
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].