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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 12
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Original Articles

Blow-up in a class of non-linear parabolic problems with time-dependent coefficients under Robin type boundary conditions

L.E. Payne Department of Mathematics, Cornell University, Ithaca, NY, USA
&
G.A. Philippin Département de Mathématiques et de Statistique, Université Laval, Québec, Canada G1K 7P4Correspondence[email protected]
Pages 2245-2256 | Received 09 Jun 2011, Accepted 14 Jun 2011, Published online: 14 Jul 2011
 
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Abstract

The goal of this article is the determination of upper and lower bounds for the blow-up time t ☆ for a class of non-linear parabolic problems with time dependent coefficients under Robin type boundary conditions.

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