Existence of a generalized polynomial attractor for the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity

In this paper, we first establish a criterion based on contractive function for the existence of generalized polynomial attractors. This only involves some rather weak compactness associated with repeated inferior limit and requires no compactness, which makes it suitable critical cases. Then by abstract theorem, verify attractor estimate its attractive speed wave equation nonlocal damping, anti-damping nonlinearity.