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Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 6
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Original Articles

Blow-up in parabolic problems under Robin boundary conditions

L.E. Payne Department of Mathematics, Cornell University, Ithaca, USA
&
P.W. Schaefer Department of Mathematics, University of Tennessee, Knoxville, USACorrespondence[email protected]
Pages 699-707 | Received 28 Apr 2008, Accepted 01 May 2008, Published online: 27 Jul 2010
 
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Abstract

By means of a first-order differential inequality technique, sufficient conditions are determined which imply that blow-up of the solution does occur or does not occur for the semilinear heat equation under Robin boundary conditions. In addition, a lower bound on blow-up time is obtained when blow-up does occur.

2000 Mathematics Subject Classifications:

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