NONLINEAR BOUNDARY STABILIZATION OF WAVE EQUATIONS WITH VARIABLE COEFFICIENTS

被引：0
作者：
FENG SHAOJI FENG DEXING Academy of Mathematics and Systems Science
机构：
来源：
Chinese Annals of Mathematics | 2003年 / 02期
基金：
中国国家自然科学基金;
关键词：
Wave equations; Nonlinear boundary feedback; Exponential decay; Asymptotic decay; Riemannian manifold;
D O I：
暂无
中图分类号：
O175.24 [数理方程];
学科分类号：
070104 ;
摘要：
The wave equation with variable coefficients with a nonlinear dissipative boundary feedback is studied. By the Riemannian geometry method and the multiplier technique, it is shown that the closed loop system decays exponentially or asymptotically, and hence the relation between the decay rate of the system energy and the nonlinearity behavior of the feedback function is established.
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页码：239 / 248
页数：10
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