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Applicable Analysis
An International Journal
Volume 90, 2011 - Issue 5
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Original Articles

Existence and blow-up of solutions for a porous medium equation with nonlocal boundary condition

Yunzhu Gao Institute of Mathematics, Jilin University, Changchun 130012, PR China; Department of Mathematics, Beihua University, Jilin City 132013, PR ChinaCorrespondence[email protected]
&
Wenjie Gao Institute of Mathematics, Jilin University, Changchun 130012, PR China
Pages 799-809 | Received 02 Mar 2010, Accepted 15 Jul 2010, Published online: 04 Sep 2010
 
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Abstract

In this article, a porous medium equation with nonlocal boundary condition and a localized source is studied. The results of the existence of global solutions or blow-up of solutions are given. The blow-up rate estimates are also obtained under some conditions.

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Acknowledgements

The project was supported by NSFC (10771085), by Key Lab of Symbolic Computation and Knowledge Engineering of Ministry of Education and by the 985 program of Jilin University.

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