Uniform attractors for the non-autonomous reaction-diffusion equations with delays

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成果类型：

期刊论文

作者：

Zhu, Kaixuan;Xie, Yongqin;Zhou, Feng;Li, Xin

通讯作者：

Zhu, Kaixuan(zhukx12@163.com)

作者机构：

[Zhu, Kaixuan] Hunan Univ Arts & Sci, Coll Math & Phys Sci, Hunan Prov Cooperat Innovat Ctr Construct & Dev D, Changde 415000, Peoples R China.

[Xie, Yongqin] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Peoples R China.

[Zhou, Feng] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China.

[Li, Xin] Yanshan Univ, Sch Sci, Qinhuangdao 066004, Hebei, Peoples R China.

通讯机构：

[Kaixuan Zhu *] H

[Yongqin Xie; Xin Li] S

[Feng Zhou] C

School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, 410114, P.R. China. E-mail: [email protected]<&wdkj&>[email protected]<&wdkj&>Hunan Province Cooperative Innovation Center for the Construction and Development of Dongting Lake Ecological Economic Zone, College of Mathematics and Physics Science, Hunan University of Arts and Science, Changde, 415000, P.R. China. E-mail: [email protected]<&wdkj&>[email protected]<&wdkj&>College of Science, China University of Petroleum (East China), Qingdao, 266580, P.R. China. E-mail: [email protected]<&wdkj&>[email protected]<&wdkj&>School of Science, Yanshan University, Qinhuangdao, 066004, P.R. China. E-mail: [email protected]<&wdkj&>[email protected]

语种：

英文

关键词：

Reaction-diffusion equations;delays;uniform attractors

期刊：

ASYMPTOTIC ANALYSIS

ISSN：

0921-7134

年：

2021

卷：

123

期：

3-4

页码：

263-288

DOI：

10.3233/ASY-201633

基金类别：

The authors would like to thank the referee for his/her helpful comments and suggestions. This work was supported by the NSFC (Grants Nos. 11601522, 11801493), the Fundamental Research Funds for the Central Universities of China (Grants No. 17CX02048), the Province Natural Science Foundation of Hunan (Grants No. 2018JJ2416) and Hebei (Grants No. A2018203309).

机构署名：

本校为其他机构

院系归属：

数学与统计学院

摘要：

In this paper, we consider a non-autonomous reaction-diffusion equation with hereditary effects and the nonlinearity f satisfying the polynomial growth of arbitrary p - 1 ( p ≥ 2) order. We employ the asymptotic a priori estimate method (see (J. Differential Equations 223 (2006) 367-399)) to our problem and establish an existence criterion for the ( CL2 (ω) , CLp ( ω ) )-uniform (w.r.t σ ς) attractors (see Theorem 2.18). Then, we obtain the ( CL2 (ω) , CLp (ω) ) and ( CL2 ( ω ) , CH01 (ω) )-uniform (w.r.t σ ς) attractors by applying ...

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Uniform attractors for the non-autonomous reaction-diffusion equations with delays

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