Lifespan of solutions to a damped fourth-order wave equation with logarithmic nonlinearity

Yuzhu Han, Qi Li

This paper is devoted to the lifespan of solutions to a damped fourth-order wave equation with logarithmic nonlinearity $$u_{tt}+{\Delta }^{2}u-\Delta u-\omega \Delta u_t+\alpha (t)u_t=|u{|}^{p-2}u\ln |u|.$$ Finite ti…