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Polynomial Decay Rate of a Variable Coefficient Wave Equation with Memory Type Acoustic Boundary Conditions

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Abstract

We consider a variable coefficient wave equation with memory-type acoustic boundary conditions. The polynomially decay rate of the system is established when the memory kernel decays polynomially to zero. We apply the Riemannian geometry method to deal with the variable coefficients.

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  1. School of the Science, Qingdao University of Technology, Qingdao, 266520, Shandong, People’s Republic of China

    Yu-Xiang Liu

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This work was supported by the National Natural Science Foundation of China under Grants No. 11901329.

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Liu, YX. Polynomial Decay Rate of a Variable Coefficient Wave Equation with Memory Type Acoustic Boundary Conditions. J Geom Anal 32, 254 (2022). https://doi.org/10.1007/s12220-022-00991-3

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