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论文类型：期刊论文

发表时间：2013-04-01

发表刊物：ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

收录刊物：SCIE、EI、Scopus

卷号：64

期号：2

页面范围：311-319

ISSN号：0044-2275

关键字：Fast diffusion; Fujita type theorem; Inhomogeneous reaction; Global existence; Blow-up; Second critical exponent

摘要：This paper deals with the Fujita phenomenon for the Cauchy problem of an inhomogeneous fast diffusion system. Both the critical exponent and the second exponent are obtained. We observe that the inhomogeneous terms in the system substantially contribute to the critical exponent, in that the blow-up exponent region is obviously enlarged, with keeping the second critical exponent unchanged for small inhomogeneous sources.