We consider an initial boundary value problem related to the equation and prove, under suitable conditions on and , a blow-up result for certain solutions with positive initial energy.
Salim A. Messaoudi. "Blow-up of solutions of a semilinear heat equation with a memory term." Abstr. Appl. Anal. 2005 (2) 87 - 94, 28 April 2005. https://doi.org/10.1155/AAA.2005.87