Multiple equilibrium points in global attractor for the weakly damped wave equation with critical exponent
Fengjuan Meng Chengkui Zhong
Discrete & Continuous Dynamical Systems - B 2014, 19(1): 217-230 doi: 10.3934/dcdsb.2014.19.217
In this paper, we are concerned with some properties of the global attractor of weakly damped wave equations. We get the existence of multiple stationary solutions for wave equations with weakly damping. Furthermore, we provide some approaches to verify the small neighborhood of the origin is an attracting domain which is important to obtain the multiple equilibrium points in global attractor.
keywords: wave equations. global attractor Lyapunov functional $Z_2$ index equilibrium points

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