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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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