Lower and Upper Bounds for the Blow-Up Time of a Class of Damped Fourth-Order Nonlinear Evolution Equations.

This paper is concerned with the study of the nonlinear damped wave equation utt+Δ2u−Δu−ωΔut+α(t)ut=up−2u,<graphic></graphic> in a bounded domain with smooth boundary. The blow-up of solutions are investigated under some conditions. Both lower and upper bounds for the blow-up time are derived when blow-up occurs. [ABSTRACT FROM AUTHOR]