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Propagations of singularities in a parabolic system with coupling nonlocal sources

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Indexed by:期刊论文

Date of Publication:2009-01-01

Journal:SCIENCE IN CHINA SERIES A-MATHEMATICS

Included Journals:SCIE

Volume:52

Issue:1

Page Number:181-194

ISSN No.:1006-9283

Key Words:nonlocal nonlinear sources; parabolic systems; critical exponent; blow-up rate; boundary layer profile; propagation of singularity

Abstract:This paper deals with propagations of singularities in solutions to a parabolic system coupled with nonlocal nonlinear sources. The estimates for the four possible blow- up rates as well as the boundary layer profiles are established. The critical exponent of the system is determined also.

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