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http://dx.doi.org/10.4134/CKMS.2012.27.3.629

A PARABOLIC SYSTEM WITH NONLOCAL BOUNDARY CONDITIONS AND NONLOCAL SOURCES  

Gao, Wenjie (State Key Laboratory of Automotive Dynamic Simulation Jilin University, Institute of Mathematics Jilin University)
Han, Yuzhu (Institute of Mathematics Jilin University)
Publication Information
Communications of the Korean Mathematical Society / v.27, no.3, 2012 , pp. 629-644 More about this Journal
Abstract
In this work, the authors study the blow-up properties of solutions to a parabolic system with nonlocal boundary conditions and nonlocal sources. Conditions for the existence of global or blow-up solutions are given. Global blow-up property and precise blow-up rate estimates are also obtained.
Keywords
global existence; blow-up; nonlocal sources; nonlocal boundary conditions; global blow-up; blow-up rate;
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