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
收藏
页码：30537 / 30561
页数：25
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