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AIMS Mathematics

2018, Volume 3, Issue 4: 514-523. doi: 10.3934/Math.2018.4.514
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Research article

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

  • 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
  • Received: 19 August 2018 Accepted: 11 October 2018 Published: 01 November 2018

  • 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].

    Citation: Xiaoming Peng, Xiaoxiao Zheng, Yadong Shang. Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping[J]. AIMS Mathematics, 2018, 3(4): 514-523. doi: 10.3934/Math.2018.4.514

    Related Papers:

  • 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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  • © 2018 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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