The Hopf's maximum principles are utilized to deal with the problem on blow-up of the solutions for a class of semilinear reaction diffusion equations u,t = Deltau + f(x, u, q, t) (q = delu(2)), subject to mixed boundary conditions. Some nonexistence theorems of global solutions and the bounds of "blow-up time" are obtained. (C) 2002 Elsevier Science Ltd. All rights reserved. [References: 5]
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