波动方程：拟稳定性和广义指数吸引子
Wave Equation: Quasi-Stability and Generalized Exponential Attractor
摘要:
本文研究波动方程解的长时间动力学行为，通过使用Chueshov和Lasiecha的方法，得到系统具有拟稳定的性质，从而得到全局吸引子是存在而且有限维的，并且得到广义指数吸引子也是存在的。
Abstract:
This paper studies the long-term dynamical behavior of the solution of the wave equation. By using the methods developed by Chueshov and Lasiecha, we get the quasi-stability property of the system and obtain the existence of a global attractor which has finite fractal dimension. Result on exponential attractors of the system is also proved.
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