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Critical Fujita curve for a semilinear parabolic system with time-weighted sources

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Indexed by:期刊论文

Date of Publication:2014-03-04

Journal:APPLICABLE ANALYSIS

Included Journals:SCIE、Scopus

Volume:93

Issue:3

Page Number:597-605

ISSN No.: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.

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