数学年刊B辑
數學年刊B輯
수학년간B집
CHINESE ANNALS OF MATHEMATICS
2003年
2期
239-248
,共10页
Wave equations%Nonlinear boundary feedback%Exponential decay%Asymptotic decay%Riemannian manifold
The wave equation with variable coefficients with a nonlinear dissipative boundary feedbackis studied. By the Riemannian geometry method and the multiplier technique, it is shown thatthe closed loop system decays exponentially or asymptotically, and hence the relation betweenthe decay rate of the system energy and the nonlinearity behavior of the feedback function isestablished.
