Decay rates for a variable-coefficient wave equation with nonlinear time-dependent damping

2023/04/23 by Menglan Liao, Liao, Menglan
Engineering · Mathematics · #Stability and Controllability of Differential Equations #Advanced Mathematical Physics Problems

paper · pdf · doi:10.48550/arxiv.2304.11522

Abstract

In this paper, a class of variable-coefficient wave equations equipped with time-dependent damping and the nonlinear source is considered. We show that the total energy of the system decays to zero with an explicit and precise decay rate estimate under different assumptions on the feedback with the help of the method of weighted energy integral.

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