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Decay rates of the hyperbolic equation in an exterior domain with half-linear and nonlinear boundary dissipations

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Abstract

This paper considers the energy decay of the wave equation with variable coefficients in an exterior domain. The damping is put on partly the boundary and partly on the interior of the domain. The energy decay results are established by Riemannian geometry method.

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Authors and Affiliations

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

    Yuxiang Liu

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

    Jing Li & Pengfei Yao

Authors
  1. Yuxiang Liu
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  2. Jing Li
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  3. Pengfei Yao
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Corresponding author

Correspondence to Yuxiang Liu.

Additional information

This research was supported by the National Science Foundation China under Grant Nos. 61174083, 61403239, 61473126, and 11171195, and the National Natural Science Foundation of China for the Youth under Grant No. 11401351.

This paper was recommended for publication by Editor YIN Gang.

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Liu, Y., Li, J. & Yao, P. Decay rates of the hyperbolic equation in an exterior domain with half-linear and nonlinear boundary dissipations. J Syst Sci Complex 29, 657–680 (2016). https://doi.org/10.1007/s11424-015-4233-7

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  • DOI: https://doi.org/10.1007/s11424-015-4233-7

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