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

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

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, 20...

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Bibliographic Details
Main Authors: Xiaoming Peng, Xiaoxiao Zheng, Yadong Shang
Format: Article
Language:English
Published: AIMS Press 2018-11-01
Series:AIMS Mathematics
Subjects:
lower bound| blow up| viscoelastic| strong damping| memory
Online Access:http://www.aimspress.com/article/10.3934/Math.2018.4.514/fulltext.html
Description
Summary: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].
ISSN:2473-6988

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