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

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成果类型:
期刊论文
作者:
Li, Ke;Xie, Yongqin;Ren, Yong;Li, Jun
通讯作者:
Xie, YQ
作者机构:
[Li, Jun; Li, Ke; Xie, Yongqin] Hunan Univ Informat Technol, Sch Gen Educ, Changsha 410151, Hunan, Peoples R China.
[Xie, Yongqin; Ren, Yong] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China.
通讯机构:
[Xie, YQ ] H
Hunan Univ Informat Technol, Sch Gen Educ, Changsha 410151, Hunan, Peoples R China.
Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China.
语种:
英文
关键词:
nonclassical diffusion equation;time-dependent global attractor;memory;unbounded domain
期刊:
AIMS Mathematics
ISSN:
2473-6988
年:
2023
卷:
8
期:
12
页码:
30537-30561
基金类别:
National Natural Science Foundation of China [11101053, 71471020]; Scientific Research Program Funds of NUDT [22-ZZCX-016]
机构署名:
本校为通讯机构
院系归属:
数学与统计学院
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 nonl...

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