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

Autor:	Zhao, Chunyan, Zhong, Chengkui, Yan, Senlin
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs Mathematics - Dynamical Systems 35B40 35B41 35L05 35B33
Druh dokumentu:	Working Paper
Popis:	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 associated with the repeated limit inferior and requires no compactness, which makes it suitable for critical cases. Then by this abstract theorem, we verify the existence of a polynomial attractor and estimate its attractive speed for the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity. Comment: arXiv admin note: text overlap with arXiv:2108.07410
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.01967 Zobrazit plný text záznamu View this record from Arxiv