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Indexed by:Journal Papers

Date of Publication:2015-07-01

Journal:SCIENCE CHINA-MATHEMATICS

Included Journals:SCIE、Scopus

Volume:58

Issue:7

Page Number:1453-1460

ISSN No.:1674-7283

Key Words:higher-order semilinear parabolic system; second critical exponent; global existence; blow-up

Abstract:This paper studies a higher-order semilinear parabolic system. We obtain the second critical exponent to characterize the critical space-decay rate of the initial data in the co-existence parameter region of global and non-global solutions. Together with the critical Fujita exponent established by Pang et al. (2006), this gives a clear and complete picture to the Fujita phenomena in the coupled higher-order semilinear parabolic system.