BLOW UP OF SOLUTIONS FOR A TIMOSHENKO EQUATION WITH DAMPING TERMS

Abstract

 In this work, we studied the following equation

u_{tt}+△²u-M(‖∇u‖²)△u-△u_{t}+u_{t}=|u|^{q-1}u

 regard to initial and Dirichlet boundary condition. We show that the blow up of solutions with positive and negative initial energy. 

Keywords

• Timoshenko equation,Blow up,Damping term

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