JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (4): 56-60.doi: 10.6040/j.issn.1671-9352.0.2016.224

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Lower bounds for blow up time of two nonlinear wave equations

DONG Li   

  1. College of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, China
  • Received:2016-05-19 Online:2017-04-20 Published:2017-04-11

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Abstract: The initial boundary value problem for the nonlinear viscoelastic euqation with strong damping term and dispersive term and the nonlinear Petrovsky equation is investigated. Under the premise of the solutions blow up of the equations, the lower bound of the blow up time is obtained by the proper perturbation.

Key words: dispersive term, blow-up, Petrovsky equation, strong damping term, lower bound

CLC Number: 

  • O175.29
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