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

AIMS Mathematics

Xiaoming Peng¹  Xiaoxiao Zheng²  Yadong Shang³ 

[1] 1 School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, China;2 School of Mathematical Sciences, Qufu Normal University, Qufu 273155, Shandong, China;3 School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China;

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

DOI  :  10.3934/Math.2018.4.514

来源: DOAJ

【 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】

Unknown