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Volume 28, Issue 3
Exponential Decay of Energy for a Logarithmic Wave Equation

Hongwei Zhang, Gongwei Liu & Qingying Hu

DOI: 10.4208/jpde.v28.n3.5

J. Part. Diff. Eq., 28 (2015), pp. 269-277.

Published online: 2015-09

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  • 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.
  • Keywords

Logarithmic wave equation initial boundary value problem decay estimate

  • AMS Subject Headings

35L20, 35L70, 35B40, 35Q40

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

whz661@163.com (Hongwei Zhang)

gongweiliu@126.com (Gongwei Liu)

slxhqy@163.com (Qingying Hu)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-28-269, author = {Zhang , HongweiLiu , Gongwei and Hu , Qingying}, title = {Exponential Decay of Energy for a Logarithmic Wave Equation}, journal = {Journal of Partial Differential Equations}, year = {2015}, volume = {28}, number = {3}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v28.n3.5}, url = {http://global-sci.org/intro/article_detail/jpde/5114.html} }
TY - JOUR T1 - Exponential Decay of Energy for a Logarithmic Wave Equation AU - Zhang , Hongwei AU - Liu , Gongwei AU - Hu , Qingying JO - Journal of Partial Differential Equations VL - 3 SP - 269 EP - 277 PY - 2015 DA - 2015/09 SN - 28 DO - http://doi.org/10.4208/jpde.v28.n3.5 UR - https://global-sci.org/intro/article_detail/jpde/5114.html KW - Logarithmic wave equation KW - initial boundary value problem KW - decay estimate AB - 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.
Hongwei Zhang, Gongwei Liu & Qingying Hu. (2019). Exponential Decay of Energy for a Logarithmic Wave Equation. Journal of Partial Differential Equations. 28 (3). 269-277. doi:10.4208/jpde.v28.n3.5
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