Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (2): 288-293.

• Articles • Previous Articles     Next Articles

Blow-up of Solutions for a Semilinear Hyperbolic Equation with Variable Exponent and Positive Energy

Wang Hua, He Yijun   

  1. School of Mathematical Sciences, Shanxi University, Taiyuan 030006
  • Received:2013-10-28 Revised:2014-12-17 Online:2015-04-25 Published:2015-04-25

Abstract:

In this short work, we consider a class of semilinear hyperbolic equations with variable exponent uttu+up(x) with homogeneous Dirichlet boundary conditions. Under some appropriate assumptions on the parameters, and with certain initial data, a blow-up result is established with positive energy.

Key words: Variable exponent, Blow-up, Positive energy

CLC Number: 

  • O175.2
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