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Bull. Korean Math. Soc. 2013; 50(6): 1765-1780
Printed November 1, 2013
https://doi.org/10.4134/BKMS.2013.50.6.1765
Copyright © The Korean Mathematical Society.
Some types of reaction-diffusion systems with nonlocal boundary conditions
Yuzhu Han and Wenjie Gao
Jilin University, Jilin University
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
MSC numbers: 35K51, 35K58
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