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

Ling Zhengqiu and Wang Zejia

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-12

Abstract:

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 , then every nonnegative solution is global, whereas if , there are solutions that blowup and others that are global according to the size of initial values and . When , 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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:956564

DOI: 10.1155/2012/956564

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