@article{Zhang2023, 
author = {Hao Zhang and Zejian Cui and Xiangyu Xiao},
title = {Decay estimate and blow-up for a fourth order parabolic equation modeling epitaxial thin film growth},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {5},
pages = {11297-11311},
keywords = {parabolic equation, epitaxial thin film growth, decay estimate, blow-up},
url = {https://www.sciopen.com/article/10.3934/math.2023572},
doi = {10.3934/math.2023572},
abstract = {In this paper, we study a fourth order parabolic equation modeling epitaxial thin film growth. By using the potential well method and some inequality techniques, we obtain the decay estimate of weak solutions. Meanwhile, the blow-up time is estimated from above and below. The blow-up rate is also derived.}
}