关键词: 存在性, 正则性, 抽象发展方程, 算子分解, 时间依赖全局吸引子

Abstract: By using the asymptotic priori estimates and the method of operator decomposition, combined with the modified pullback attractor theory, we studied the longtime behaviors of solutions for abstract evolution equations with memory type under the propagation of timedependent speed, and obtained the existence and regularity of timedependent global attractors.

Key words: abstract evolution equation, regularity, timedependent global attractor, operator decomposition, existence