AIMS Mathematics (Nov 2018)

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

  • Xiaoming Peng,
  • Xiaoxiao Zheng,
  • Yadong Shang

DOI
https://doi.org/10.3934/Math.2018.4.514
Journal volume & issue
Vol. 3, no. 4
pp. 514 – 523

Abstract

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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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