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Abstract and Applied Analysis 
Volume 2005 (2005), Issue 2, Pages 87-94
doi:10.1155/AAA.2005.87

Blow-up of solutions of a semilinear heat equation with a memory term

Salim A. Messaoudi

Mathematical Sciences Department, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia

Received 26 May 2004

Abstract

We consider an initial boundary value problem related to the equation ut−Δu+∫0tg(t−s)Δu(x,s)ds=|u|p−2u and prove, under suitable conditions on g and p, a blow-up result for certain solutions with positive initial energy.