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General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan-Taylor damping with nonlinear delay and acoustic boundary conditions
  • Mi Jin Lee,
  • Jong-Yeoul Park,
  • Jum-Ran Kang
Mi Jin Lee
Pusan National University
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Jong-Yeoul Park
Pusan National University
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Jum-Ran Kang
Pukyong National University
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Abstract

In this paper, we consider the general energy decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan-Taylor damping with nonlinear delay and acoustic boundary conditions. By introducing suitable energy and Lyapunov functionals, we establish the general decay estimates for the energy, which depends on the behavior of both sigma and g.

Peer review status:UNDER REVIEW

31 Dec 2020Submitted to Mathematical Methods in the Applied Sciences
05 Jan 2021Assigned to Editor
05 Jan 2021Submission Checks Completed
23 Feb 2021Reviewer(s) Assigned