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.