具有时滞的强阻尼波动方程组的吸引子

Attractor for strong damped wave equations with delay

研究了一类具有时滞的强阻尼波动方程组整体吸引子的存在性问题.通过构造函数空间的等价范数及运用各种不等式估计方法,并利用偏泛函微分方程理论,得到了整体吸引子的存在性.

In this paper, the global attractors for strong damped wave equations with delay are studied. By introducing a new equivalent norm in the phase space and using the theory of partial functional differential equations, we obtain some sufficient conditions of the existence of the global attractors.