Taiwanese Journal of Mathematics

Asymptotic Stability of the Viscoelastic Equation with Variable Coefficients and the Balakrishnan-Taylor Damping

Tae Gab Ha

Full-text: Open access

Abstract

In this paper, we consider the viscoelastic equation with variable coefficients and Balakrishnan-Taylor damping and source terms. This work is devoted to prove, under suitable conditions on the initial data, the asymptotic stability without imposing any restrictive growth assumption on the damping term and weakening of the usual assumptions on the relaxation function.

Article information

Source
Taiwanese J. Math., Volume 22, Number 4 (2018), 931-948.

Dates
Received: 18 June 2017
Revised: 12 December 2017
Accepted: 13 December 2017
First available in Project Euclid: 22 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1513911748

Digital Object Identifier
doi:10.11650/tjm/171203

Mathematical Reviews number (MathSciNet)
MR3830828

Zentralblatt MATH identifier
06965404

Subjects
Primary: 35L70: Nonlinear second-order hyperbolic equations 35B40: Asymptotic behavior of solutions

Keywords
asymptotic stability viscoelastic equation variable coefficients Balakrishnan-Taylor damping

Citation

Ha, Tae Gab. Asymptotic Stability of the Viscoelastic Equation with Variable Coefficients and the Balakrishnan-Taylor Damping. Taiwanese J. Math. 22 (2018), no. 4, 931--948. doi:10.11650/tjm/171203. https://projecteuclid.org/euclid.twjm/1513911748


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References

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