Attractors for the nonclassical reaction-diffusion equations on time-dependent spaces

被引：19

作者：

Zhu, Kaixuan ^{[1
]}

Xie, Yongqin ^{[2
]}

Zhou, Feng ^{[3
]}

机构：

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

[2] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha, Peoples R China

[3] China Univ Petr East China, Coll Sci, Qingdao, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2020年 / 2020卷 / 01期

关键词：

Nonclassical reaction-diffusion equations; Polynomial growth of arbitrary order; Time-dependent global attractors; PULLBACK ATTRACTORS; GLOBAL ATTRACTORS; WAVE-EQUATIONS; DYNAMICS; EXISTENCE;

D O I：

10.1186/s13661-020-01392-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, based on the notation of time-dependent attractors introduced by Conti, Pata and Temam in (J. Differ. Equ. 255:1254-1277, 2013), we prove the existence of time-dependent global attractors inH t for a class of nonclassical reaction-diffusion equations with the forcing term g(x). H-1(O) and the nonlinearity f satisfying the polynomial growth of arbitrary p - 1 (p = 2) order, which generalizes the results obtained in (Appl. Anal. 94:1439-1449, 2015) and (Bound. Value Probl. 2016: 10, 2016).

引用

页数：14

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