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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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

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spelling	doaj-bffecc6ef50848e8ab88dab72a16a57c2020-11-24T21:16:58ZengAIMS PressAIMS Mathematics2473-69882018-11-013451452310.3934/Math.2018.4.514Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong dampingXiaoming Peng0Xiaoxiao Zheng1Yadong Shang21 School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, China2 School of Mathematical Sciences, Qufu Normal University, Qufu 273155, Shandong, China3 School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaThis 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].http://www.aimspress.com/article/10.3934/Math.2018.4.514/fulltext.htmllower bound\| blow up\| viscoelastic\| strong damping\| memory
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Xiaoming Peng Xiaoxiao Zheng Yadong Shang
spellingShingle	Xiaoming Peng Xiaoxiao Zheng Yadong Shang Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping AIMS Mathematics lower bound\| blow up\| viscoelastic\| strong damping\| memory
author_facet	Xiaoming Peng Xiaoxiao Zheng Yadong Shang
author_sort	Xiaoming Peng
title	Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping
title_short	Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping
title_full	Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping
title_fullStr	Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping
title_full_unstemmed	Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping
title_sort	lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping
publisher	AIMS Press
series	AIMS Mathematics
issn	2473-6988
publishDate	2018-11-01
description	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].
topic	lower bound\| blow up\| viscoelastic\| strong damping\| memory
url	http://www.aimspress.com/article/10.3934/Math.2018.4.514/fulltext.html
work_keys_str_mv	AT xiaomingpeng lowerboundsfortheblowuptimetoanonlinearviscoelasticwaveequationwithstrongdamping AT xiaoxiaozheng lowerboundsfortheblowuptimetoanonlinearviscoelasticwaveequationwithstrongdamping AT yadongshang lowerboundsfortheblowuptimetoanonlinearviscoelasticwaveequationwithstrongdamping
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Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping

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