## Taiwanese Journal of Mathematics

### GENERAL DECAY OF SOLUTIONS FOR A VISCOELASTIC EQUATION WITH BALAKRISHNAN-TAYLOR DAMPING

Shun-Tang Wu

#### Abstract

A viscoelastic equation with Balakrishnan-Taylor damping and nonlinear boundary/interior sources is considered in a bounded domain. Under appropriate assumptions on the relaxation function and with certain initial data and by adopting the perturbed energy method, we establish uniform decay rate of the solution energy in terms of the behavior of the relaxation function, which are not necessarily of exponential or polynomial decay.

#### Article information

Source
Taiwanese J. Math., Volume 19, Number 2 (2015), 553-566.

Dates
First available in Project Euclid: 4 July 2017

https://projecteuclid.org/euclid.twjm/1499133646

Digital Object Identifier
doi:10.11650/tjm.19.2015.4631

Mathematical Reviews number (MathSciNet)
MR3332313

Zentralblatt MATH identifier
1357.35229

#### Citation

Wu, Shun-Tang. GENERAL DECAY OF SOLUTIONS FOR A VISCOELASTIC EQUATION WITH BALAKRISHNAN-TAYLOR DAMPING. Taiwanese J. Math. 19 (2015), no. 2, 553--566. doi:10.11650/tjm.19.2015.4631. https://projecteuclid.org/euclid.twjm/1499133646

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