Release Time:2019-03-09  Hits:

Indexed by: Journal Papers

Date of Publication: 2015-07-01

Journal: SCIENCE CHINA-MATHEMATICS

Included Journals: Scopus、SCIE

Volume: 58

Issue: 7

Page Number: 1453-1460

ISSN: 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.