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

被引：6

作者：

Cao, Xinru ^{[1
]}

Bai, Xueli ^{[1
]}

Zheng, Sining ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

APPLICABLE ANALYSIS | 2014年 / 93卷 / 03期

基金：

中国国家自然科学基金;

关键词：

35B33; 35K55; time-weighted sources; semilinear parabolic system; Fujita phenomenon; non-global solution; global solution; critical curve; REACTION-DIFFUSION EQUATIONS; GLOBAL-SOLUTIONS; BLOW-UP; CRITICAL EXPONENTS; NONEXISTENCE; EXISTENCE; THEOREMS;

D O I：

10.1080/00036811.2013.794937

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：597 / 605

页数：9

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