时间依赖全局吸引子的概念是Di Plinio,Temam等人于近期提出的.在非线性项,满足临界增长条件时,应用算子分解技巧,验证了系数参数与时间t有关时plate方程对应的过程族{U(t,τ))的渐近紧性,进而获得了plate方程时间依赖全局吸引子的存在性及正则性.
The concept of time-dependent global attractors was recently presented by Di Plinio, Temam et al. By using the skill of the operator decomposition, the asymptotic compactness of a family process {U(t,τ)} corresponding to the plate equations with the coefficient dependent on time was proved, and then the existence of time-dependent global attractors as well as the regularity were obtained under the condition that f satisfies the critical exponent growth.