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.
"On the blow-up of solutions to a fourth-order pseudoparabolic equation,"
Turkish Journal of Mathematics: Vol. 46:
3, Article 19.
Available at: https://journals.tubitak.gov.tr/math/vol46/iss3/19