ATTRACTORS FOR A CLASS OF PERTURBED NONCLASSICAL DIFFUSION EQUATIONS WITH MEMORY

被引：6

作者：

Yuan, Jianbo ^{[1
]}

Zhang, Shixuan ^{[1
]}

Xie, Yongqin ^{[2
]}

Zhang, Jiangwei ^{[3
]}

机构：

[1] Changsha Univ Sci & Technol, Sch Traff & Transportat Engn, Changsha 410114, Hunan, Peoples R China

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

[3] Natl Univ Def Technol, Coll Arts & Sci, Changsha 410073, Hunan, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2021年

关键词：

The perturbed nonclassical diffusion equation; arbitrary polynomial growth; global attractor; upper semi-continuity; UPPER SEMICONTINUITY; DYNAMICS;

D O I：

10.3934/dcdsb.2021261

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using a new operator decomposition method (or framework), we establish the existence, regularity and upper semi-continuity of global attractors for a perturbed nonclassical diffusion equation with fading memory. It is worth noting that we get the same conclusion in [7, 14] as the perturbed parameters nu = 0, but the nonlinearity f satisfies arbitrary polynomial growth condition rather than critical exponential growth condition.

引用

页码：4995 / 5007

页数：13

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