By introducing weighted space and using the method of priori estimatehe , uniformly compactness are achieved for s ( t ) in weighted space to overcome the noncom - pactness of the classical sobolev embedding in unbounded domain 在加权空间进行先验估计,获得解算子s ( t )在加权空间紧的有界吸收集,从而在加权空间得到整体吸引子的存在性。