A class of fourth-order hyperbolic equations with strongly damped and nonlinear logarithmic terms

<p style='text-indent:20px;'>In this paper, we study a class of hyperbolic equations the fourth order with strong damping and logarithmic source terms. Firstly, prove local existence weak solution by using contraction mapping principle. Secondly, in potential well framework, global solutions energy decay estimate are obtained. Finally, give blow up result at finite time under subcritical initial energy.</p>