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This paper is devoted to the lifespan of solutions to a damped fourth-orderwave equation with logarithmic nonlinearity $$u_{tt}+\Delta^2u-\Deltau-\omega\Delta u_t+\alpha(t)u_t=|u|^{p-2}u\ln|u|.$$ Finite time blow-upcriteria for solutions at both lower and high initial energy levels areestablished, and an upper bound for the blow-up time is given for each case.Moreover, by constructing a new auxiliary functional and making full use of thestrong damping term, a lower bound for the blow-up time is also derived.

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