# American Institute of Mathematical Sciences

doi: 10.3934/dcdsb.2021212
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## Uniform attractors for nonautonomous reaction-diffusion equations with the nonlinearity in a larger symbol space

 Department of Mathematics, Nanjing University, Nanjing 210093, China

* Corresponding author: Chengkui Zhong

Received  March 2021 Revised  June 2021 Early access August 2021

Fund Project: The work is supported by the NSFC(11731005)

Existence and structure of the uniform attractors for reaction-diffusion equations with the nonlinearity in a weaker topology space are considered. Firstly, a weaker symbol space is defined and an example is given as well, showing that the compactness can be easier obtained in this space. Then the existence of solutions with new symbols is presented. Finally, the existence and structure of the uniform attractor are obtained by proving the $(L^{2}\times \Sigma, L^{2})$-continuity of the processes generated by solutions.

Citation: Xiangming Zhu, Chengkui Zhong. Uniform attractors for nonautonomous reaction-diffusion equations with the nonlinearity in a larger symbol space. Discrete & Continuous Dynamical Systems - B, doi: 10.3934/dcdsb.2021212
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