@article{Dong2022, 
author = {Xiaolei Dong and Yuming Qin},
title = {Finite fractal dimension of pullback attractors for a nonclassical diffusion equation},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {8064-8079},
keywords = {nonclassical diffusion equations, finite fractal dimension, pullback attractors},
url = {https://www.sciopen.com/article/10.3934/math.2022449},
doi = {10.3934/math.2022449},
abstract = {In this paper, we investigate the finite fractal dimension of pullback attractors for a nonclassical diffusion equation in        H    0    1    (  Ω  ). First, we prove the existence of pullback attractors for a nonclassical diffusion 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 diffusion equation in        H    0    1    (  Ω  ).}
}