Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 956564, 12 pages
Research Article

Blow-Up and Global Existence for a Degenerate Parabolic System with Nonlocal Sources

1Institute of Mathematics and Information Science, Yulin Normal University, Guangxi, Yulin 537000, China
2Institute of Mathematics, Jilin University, Jilin, Changchun 130024, China

Received 25 October 2011; Revised 14 March 2012; Accepted 21 March 2012

Academic Editor: Yuriy Rogovchenko

Copyright © 2012 Ling Zhengqiu and Wang Zejia. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper investigates the blow-up and global existence of nonnegative solutions for a class of nonlocal degenerate parabolic system. By using the super- and subsolution techniques, the critical exponent of the system is determined. That is, if Pc=p1q1(mp2)(nq2)<0, then every nonnegative solution is global, whereas if Pc>0, there are solutions that blowup and others that are global according to the size of initial values u0(x) and v0(x). When Pc=0, we show that if the domain is sufficiently small, every nonnegative solution is global while if the domain large enough that is, if it contains a sufficiently large ball, there is no global solution.