Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-03-04

Journal: APPLICABLE ANALYSIS

Included Journals: Scopus、SCIE

Volume: 93

Issue: 3

Page Number: 597-605

ISSN: 0003-6811

Key Words: 35B33; 35K55; time-weighted sources; semilinear parabolic system; Fujita phenomenon; non-global solution; global solution; critical curve

Abstract: This paper studies the Fujita phenomena for the Cauchy problem to semilinear parabolic equations coupled via the time-weighted sources . The critical curve is determined for a wider range of parameters, where with . In particular, the decay cases of and are also included.