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General decay rate estimates for viscoelastic wave equation with variable coefficients

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Abstract

The authors study decay properties of solutions for a viscoelastic wave equation with variable coefficients and a nonlinear boundary damping by the differential geometric approach.

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Authors and Affiliations

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

    Xiaomin Cao

  2. Key Laboratory of Control and Systems, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Pengfei Yao

Authors
  1. Xiaomin Cao
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  2. Pengfei Yao
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Corresponding author

Correspondence to Xiaomin Cao.

Additional information

This research was supported by the National Science Foundation of China under Grant Nos. 60225003, 60334040, 60221301, 60774025, 10831007, 61104129, 11171195, and the Excellent PhD Adviser Program of Beijing under Grant No. YB20098000101.

This paper was recommended for publication by Editor FENG Dexing.

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Cao, X., Yao, P. General decay rate estimates for viscoelastic wave equation with variable coefficients. J Syst Sci Complex 27, 836–852 (2014). https://doi.org/10.1007/s11424-014-1056-x

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  • DOI: https://doi.org/10.1007/s11424-014-1056-x

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