Exponential Decay of Energy for a Logarithmic Wave Equation

Authors

  • Hongwei Zhang School of Electronic and Information, Xi\u2019an Polytechnic University, Xi\u2019an 710048, China
  • Gongwei Liu College of Science, Henan University of Technology, Zhengzhou 450001, China
  • Qingying Hu Department of Mathematics, Henan University of Technology, Zhengzhou 450001, China

DOI:

https://doi.org/10.4208/jpde.v28.n3.5

Keywords:

Logarithmic wave equation;initial boundary value problem;decay estimate

Abstract

" In this paper we consider the initial boundary value problem for a class of logarithmic wave equation. By constructing an appropriate Lyapunov function, we obtain the decay estimates of energy for the logarithmic wave equation with linear damping and some suitable initial data. The results extend the early results."

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Published

2015-09-05

Issue

Vol. 28 No. 3 (2015)

Section

Articles

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