Finite fractal dimension of pullback attractors for a nonclassical diffusion equation

被引：0
作者：
Dong, Xiaolei [1 ]
Qin, Yuming [2 ,3 ]
机构：
[1] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China
[2] Donghua Univ, Dept Math, Shanghai 201620, Peoples R China
[3] Donghua Univ, Inst Nonlinear Sci, Shanghai 201620, Peoples R China
来源：
AIMS MATHEMATICS | 2022年 / 7卷 / 05期
基金：
中国国家自然科学基金;
关键词：
nonclassical di ffusion equations; finite fractal dimension; pullback attractors; GLOBAL ATTRACTORS; UPPER SEMICONTINUITY; ASYMPTOTIC-BEHAVIOR; UNIFORM ATTRACTORS; EXISTENCE; DYNAMICS;
D O I：
10.3934/math.2022449
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the finite fractal dimension of pullback attractors for a nonclassical di ffusion equation in H-0(1) (Omega). First, we prove the existence of pullback attractors for a nonclassical di ffusion equation with arbitrary polynomial growth condition by applying the operator decomposition method. Then, by the fractal dimension theorem of pullback attractors given by [6], we prove the finite fractal dimension of pullback attractors for a nonclassical di ffusion equation in H-0(1) (Omega)..
引用
收藏
页码：8064 / 8079
页数：16
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