Electronic Journal of Differential Equations (May 2020)

Decay of energy for viscoelastic wave equations with Balakrishnan-Taylor damping and memories

  • Fei Wang,
  • Jianghao Hao

Journal volume & issue
Vol. 2020, no. 42,
pp. 1 – 19

Abstract

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In this article, we consider a viscoelastic wave equation with Balakrishnan-Taylor damping, and finite and infinite memory terms in a bounded domain. Under suitable assumptions on relaxation functions and with certain initial data, by adopting the perturbed energy method, we establish a decay of energy which depends on the behavior of the relaxation functions.

Keywords