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

Xiaoming Peng Xiaoxiao Zheng Yadong Shang

*Corresponding author: Yadong Shang gzydshang@126.com

Math2018,4,514doi:10.3934/Math.2018.4.514

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].

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