Pullback attractors for the non-autonomous reaction-diffusion equations in RN

被引：5

作者：

Zhu, Kaixuan ^{[1
]}

Xie, Yongqin ^{[2
]}

Zhou, Feng ^{[3
]}

Li, Xin ^{[4
]}

机构：

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

[2] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China

[3] China Univ Petr East China, Coll Sci, Qingdao 266580, Shandong, Peoples R China

[4] Yanshan Univ, Sch Sci, Qinhuangdao 066004, Hebei, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2019年 / 60卷 / 03期

关键词：

GLOBAL ATTRACTORS; EXISTENCE; DYNAMICS;

D O I：

10.1063/1.5040329

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we prove the existence of the pullback attractors in L-2 (R-N), L-p (R-N), and H-1 (R-N) for a nonlinear reaction-diffusion equation in unbounded domains, in which the nonlinearity f satisfies the polynomial growth of arbitrary order p - 1(p > 2) and the external forcing g is an element of L-loc(2) (R; L-2 (R-N)) only subjects to the weaker integrability condition integral(t)(-infinity) e(alpha s)parallel to g(s)parallel to(2)(2)ds. Published under license by AIP Publishing.

引用

页数：20

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