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数学物理学报(A辑) 2012
Uniform Blow-up Profile for a Semilinear Parabolic System with Nonlocal Boundaries
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Abstract:
In this paper, the authors deals with a semi-linear parabolic system with nonlinear nonlocal sources and nonlocal boundaries. By using super- and sub-solution techniques, the global existence and finite time blow-up of solution are proved. Moveover, the uniform blow-up profiles of solutions are discussed.