Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping

AIMS Mathematics

关键词: : ;    lower bound;    blow up;    viscoelastic;    strong damping;    memory;   

DOI  :  10.3934/Math.2018.4.514

学科分类：数学（综合）

来源: AIMS Press

【 摘 要 】

This paper deals with a nonlinear viscoelastic wave equation with strong damping. By the means of the interpolation inequalities and di erential inequality technique, we obtain a lower bound for blow-up time of the solution. This result extends our earlier work Peng et al. [Appl. Math. Lett., 76, 2018].

【 授权许可】

CC BY