Global attractor;
sine-Gordon equation;
equilibrium point;
Lyapunov function;
D O I:
暂无
中图分类号:
O177 [泛函分析];
学科分类号:
070104 ;
摘要:
We investigate the global attractor of damped sine-Gordon equation with homogeneousDirichlet boundary condition. We prove the existence of global attractor. Under some conditionson the parameters, we show the global attractor is zero-dimensional and is exactly the uniqueequilibrium point of the system.