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 JAMP  Vol.5 No.4 , April 2017
Decay Rate for a Viscoelastic Equation with Strong Damping and Acoustic Boundary Conditions
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].
Cite this paper: Ma, Z. (2017) Decay Rate for a Viscoelastic Equation with Strong Damping and Acoustic Boundary Conditions. Journal of Applied Mathematics and Physics, 5, 922-932. doi: 10.4236/jamp.2017.54081.
References

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