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Applicable Analysis
An International Journal
Volume 90, 2011 - Issue 9
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Original Articles

Blow-up for a degenerate parabolic equation with nonlocal source and nonlocal boundary

, &
Pages 1373-1389 | Received 29 May 2010, Accepted 01 Sep 2010, Published online: 11 Mar 2011
 

Abstract

In this article, we investigate the blow-up properties of the positive solutions for a doubly degenerate parabolic equation with nonlocal source and nonlocal boundary condition. The conditions on the existence and nonexistence of global positive solutions are given. Moreover, we give the precise blow-up rate estimate and the uniform blow-up estimate for the blow-up solution.

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Acknowledgements

The authors thank the anonymous referees for their careful reading and useful suggestions. This work is supported by NSF of China (11071266) and by NSF project of CQ CSTC (2010BB9218).

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