@article{Zhu2024, 
author = {Qianqian Zhu and Yaojun Ye and Shuting Chang},
title = {Blow-up upper and lower bounds for solutions of a class of higher order nonlinear pseudo-parabolic equations},
year = {2024},
journal = {Electronic Research Archive},
volume = {32},
number = {2},
pages = {945-961},
keywords = {higher order pseudo-parabolic equation, memory term, blow-up, upper bound, lower bound},
url = {https://www.sciopen.com/article/10.3934/era.2024046},
doi = {10.3934/era.2024046},
abstract = {In this paper, we study the initial boundary value problem for a class of higher-order nonlinear pseudo-parabolic equations with a memory term. First, the blow-up results of the solution when the initial energy is negative or positive are obtained by using concavity analysis, and an upper bound on the blow-up time        T    ∗   is given. Second, a lower bound on the blow-up time        T    ∗   is obtained by applying differential inequalities when the solutions blow up.}
}