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具退化非局部阻尼和源项的非线性耦合粘弹性波方程组解的指数增长性

Exponential Growth of Solutions for Nonlinear Coupled Viscoelastic Wave Equations with Degenerate Nonlocal Damping and Source Terms
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摘要 This paper is concerned with a system of nonlinear viscoelastic wave equations with degenerate nonlocal damping and memory terms.We will prove that the energy associated to the system is unbounded.In fact,it will be proved that the energy will grow up as an exponential function as time goes to infinity,provided that the initial data are positive initial energy.
作者 刘烁 张宏伟 呼青英 LIU Shuo;ZHANG Hong-wei;Hu Qing-ying(Department of Mathematics,Henan University of Technology,Zhengzhou 450001,China)
出处 《Chinese Quarterly Journal of Mathematics》 2021年第2期210-220,共11页 数学季刊(英文版)
基金 Supported by the National Natural Science Foundation of China(Grant No.11801145)。
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