Exponential Decay of Energy for a Logarithmic Wave Equation

Hongwei Zhang; Gongwei Liu; Qingying Hu

doi:10.4208/jpde.v28.n3.5

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

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2499

Issue

Vol. 28 No. 3 (2015)

Section

Articles

How to Cite

Exponential Decay of Energy for a Logarithmic Wave Equation. (2015). Journal of Partial Differential Equations, 28(3), 269-277. https://doi.org/10.4208/jpde.v28.n3.5