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General decay of a nonlinear viscoelastic wave equation with the logarithmic nonlinearity, not necessarily decreasing kernel and acoustic boundary conditions
  • Dandan Guo,
  • ZHIFEI ZHANG
Dandan Guo
Henan University of Science and Technology
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ZHIFEI ZHANG
Huazhong University of Science and Technology

Corresponding Author:zhangzf@hust.edu.cn

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Abstract

In this work we investigate a viscoelastic wave equation involving a logarithmic nonlinearity and acoustic boundary conditions. Making some assumptions on the memory kernel function g, which is not necessarily decreasing and using Lyapunov method, we establish a general decay estimate of the solution.