Pullback attractors for the nonclassical diffusion equations with memory in time-dependent spaces

被引：1

作者：

Li, Ke ^{[1
]}

Xie, Yongqin ^{[1
,2
]}

Ren, Yong ^{[2
]}

Li, Jun ^{[1
]}

机构：

[1] Hunan Univ Informat Technol, Sch Gen Educ, Changsha 410151, Hunan, Peoples R China

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

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 12期

基金：

中国国家自然科学基金;

关键词：

nonclassical diffusion equation; time-dependent global attractor; memory; unbounded domain; ASYMPTOTIC-BEHAVIOR; HEAT-CONDUCTION; WAVE-EQUATIONS; DYNAMICS;

D O I：

10.3934/math.20231561

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the asymptotic behavior of nonclassical diffusion equations with hereditary memory and time-dependent perturbed parameter on whole space Rn. Under a general assumption on the memory kernel k, the existence and regularity of time-dependent global attractors are proven using a new analytical technique. It is remarkable that the nonlinearity f has no restriction on the upper growth.

引用

页码：30537 / 30561

页数：25

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