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http://dx.doi.org/10.4134/BKMS.2013.50.6.1765

SOME TYPES OF REACTION-DIFFUSION SYSTEMS WITH NONLOCAL BOUNDARY CONDITIONS  

Han, Yuzhu (Institute of Mathematics Jilin University)
Gao, Wenjie (Institute of Mathematics Jilin University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.6, 2013 , pp. 1765-1780 More about this Journal
Abstract
This paper deals with some types of semilinear parabolic systems with localized or nonlocal sources and nonlocal boundary conditions. The authors first derive some global existence and blow-up criteria. And then, for blow-up solutions, they study the global blow-up property as well as the precise blow-up rate estimates, which has been seldom studied until now.
Keywords
localized source; nonlocal source; nonlocal boundary condition; blow-up profile; blow-up rate;
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