Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-04-01

Journal: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

Included Journals: Scopus、EI、SCIE

Volume: 64

Issue: 2

Page Number: 311-319

ISSN: 0044-2275

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

Abstract: 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.