Qualitative Analysis of Solutions for a Timoshenko Type Equation With Logarithmic Source Term

Abstract

This paper deals with a Timoshenko type equation with strong damping and logarithmic source terms. The global existence and the decay estimate of the solutions have been obtained. We reproduce the finite time blow up results of weak solutions by the combining of the concavity method, perturbation energy method and differential-integral inequality technique. These results extend and improve some recent results in logarithmic nonlinearity.