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arXiv · 1809.03196

Logarithmic Decay of a Wave Equation with Kelvin-Voigt Damping

Luc Robbiano·Qiong Zhang
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Abstract

In this paper we analyze the long time behavior of a wave equation with local Kelvin-Voigt Damping. Through introducing proper class symbol and pseudo-differential calculus, we obtain a Carleman estimate, and then establish an estimate on the corresponding resolvent operator. As a result, we show the logarithmic decay rate for energy of the system without any geometric assumption on the subdomain on which the damping is effective.

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Luc Robbiano, Qiong Zhang. 2018-09-10. Logarithmic Decay of a Wave Equation with Kelvin-Voigt Damping. https://arxiv.org/abs/1809.03196

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