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math.AP2021
Existence of a generalized polynomial attractor for the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity
Chunyan Zhao, Chengkui Zhong, Senlin Yan
In this paper, we first establish a criterion based on contractive function for the existence of polynomial attractors. This criterion only involves some rather weak compactness as…
math.AP2021★ 1 cited
Asymptotic behaviour of the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity
Chunyan Zhao, Chengkui Zhong, Zhijun Tang
In this paper we prove the existence of the global attractor for the wave equation with nonlocal weak damping, nonlocal anti-damping and critical nonlinearity.