Exponential Decay of Energy for a Logarithmic Wave Equation

Exponential Decay of Energy for a Logarithmic Wave Equation

Year:    2015

Author:    Hongwei Zhang, Gongwei Liu, Qingying Hu

Journal of Partial Differential Equations, Vol. 28 (2015), Iss. 3 : pp. 269–277

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 28 (2015), Iss. 3 : pp. 269–277

Published online:    2015-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Logarithmic wave equation

Author Details

Hongwei Zhang

Gongwei Liu

Qingying Hu