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Stabilization of wave equation with variable coefficients by nonlinear boundary feedback

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Abstract

A wave equation with variable coefficients and nonlinear boundary feedback is studied. The results of energy decay of the solution are obtained by multiplier method and Riemann geometry method. Previous results obtained in the literatures are generalized in this paper.

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Authors and Affiliations

  1. School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, China

    Jieqiong Wu & Shengjia Li

Authors
  1. Jieqiong Wu
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  2. Shengjia Li
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Corresponding author

Correspondence to Jieqiong Wu.

Additional information

This research is supported by the National Science Foundation of China under Grant No. 60774014 and the Science Foundation of Shanxi Province under Grant No. 2007011002.

This paper was recommended for publication by Editor Dexing FENG.

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Wu, J., Li, S. Stabilization of wave equation with variable coefficients by nonlinear boundary feedback. J Syst Sci Complex 24, 875–882 (2011). https://doi.org/10.1007/s11424-011-9110-4

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  • DOI: https://doi.org/10.1007/s11424-011-9110-4

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