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Abstract and Applied Analysis
Volume 2005, Issue 2, Pages 87-94

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

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

Received 26 May 2004

Copyright © 2005 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider an initial boundary value problem related to the equation utΔu+0tg(ts)Δu(x,s)ds=|u|p2u and prove, under suitable conditions on g and p, a blow-up result for certain solutions with positive initial energy.