On the blow-up of solutions to a fourth-order pseudoparabolic equation

Authors: MUSTAFA POLAT

Abstract: In this note, we consider a fourth-order semilinear pseudoparabolic differential equation including a strong damping term together with a nonlocal source term. The problem is considered under the periodic boundary conditions and a finite time blow-up result is established. Also a lower bound estimate for the blow-up time is obtained.

Keywords: Fourth order pseudoparabolic equation, positive initial energy, periodic boundary conditions, blow-up

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