Pullback attractors of nonautonomous nonclassical diffusion equations with nonlocal diffusion

被引：11

作者：

Peng, Xiaoming ^{[1
]}

Shang, Yadong ^{[2
]}

Zheng, Xiaoxiao ^{[3
]}

机构：

[1] Guangdong Univ Finance & Econ, Sch Math & Stat, Guangzhou 510320, Guangdong, Peoples R China

[2] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

[3] Qufu Normal Univ, Sch Math Sci, Qufu 273155, Shandong, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2018年 / 69卷 / 04期

关键词：

Pullback attractors; Nonautonomous; Nonclassical diffusion equations; Nonlocal diffusion; PLASMA PHYSICS; 2D-NAVIER-STOKES EQUATIONS; PARABOLIC PROBLEMS; UNBOUNDED-DOMAINS; DYNAMICAL-SYSTEMS; UNIQUENESS; EXISTENCE; BEHAVIOR;

D O I：

10.1007/s00033-018-1005-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the long-time behavior of solutions to a nonautonomous nonclassical diffusion equation with nonlocal diffusion and nonlinear terms with subcritical growth. Under some suitable assumptions, using the energy method, we prove the existence of minimal pullback attractors for the associated process in two different frameworks. In addition, some relationships between the attractors for the universe of fixed bounded sets and those associated with a universe given by another tempered condition are established.

引用

页数：14

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