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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 2
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Articles

Blow-up rate for the heat equation with a memory boundary condition

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Pages 308-317 | Received 26 Nov 2013, Accepted 03 Feb 2014, Published online: 14 Mar 2014
 

Abstract

In this paper, we study the heat equation with a memory boundary condition . We show that every nonnegative solution blows up in finite time, and blow-up occurs only on the boundary. We also establish upper and lower bounds on the blow-up rate.

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