Abstract
In this note, we study a class of fourth-order wave equation with viscous damping term and illuminate that the condition on the relationship between and p in Theorem 4.2 of Xu et al. (Appl Anal. 2013;92(7):1403–1416) can be removed. This is achieved by adopting and modifying the so-called concavity method. Furthermore, we establish a blow-up result for positive initial energy without the relationship between and p as well.
Acknowledgements
The authors express sincere thanks to the editors and anonymous reviewers for their constructive comments and suggestions that helped to improve this paper.
Disclosure statement
No potential conflict of interest was reported by the authors.