Journal of Jilin University Science Edition

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Blowup of Solutions of Energy for a ViscoelasticWave Equation with VariableExponents

GAO Yunzhu, MENG Qiu, GUO Wei   

  1. College of Mathematics and Statistics, Beihua University, Jilin 132013, Jilin Province, China
  • Received:2017-11-15 Online:2018-05-26 Published:2018-05-18
  • Contact: GUO Wei E-mail:guoweijilin@163.com

Abstract: We considered the properties of  blowup of solutions of energy for a class of viscoelastic wave equations with variable\|exponents. By constructing an energy function, we studied the properties of the energy function, and used the obtained  results, Cauchy inequality and integral estimates to get the   properties of blowup of solutions of energy for a nonlinear wave equations with variableexponents in finite time.

Key words: solution of energy, variableexponent, property of blowup, viscoelastic wave equation

CLC Number: 

  • O175.26