Lp-PULLBACK ATTRACTORS FOR NON-AUTONOMOUS REACTION-DIFFUSION EQUATIONS WITH DELAYS

被引：5

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 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

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2019年 / 54卷 / 01期

关键词：

Reaction-diffusion equations; delays; pullback attractors; NAVIER-STOKES EQUATIONS; DIFFERENTIAL-EQUATIONS; 3-DIMENSIONAL SYSTEM; GLOBAL ATTRACTORS;

D O I：

10.12775/TMNA.2019.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the non-autonomous reaction-diffusion equations with hereditary effects and the nonlinear term f satisfying the polynomial growth of arbitrary order p - 1 (p >= 2). The delay term may be driven by a function with very weak assumptions, namely, just measurability. We extend the asymptotic a priori estimate method (see [29]) to our problem and establish a new existence theorem for the pullback attractors in C-Lp (Omega) (p > 2) (see Theorem 2.12), which generalizes the results obtained in [12].

引用

页码：9 / 27

页数：19

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