Article ID Journal Published Year Pages File Type
4630129 Applied Mathematics and Computation 2011 7 Pages PDF
Abstract
This paper deals with the blow-up of positive solutions for a nonlinear reaction-diffusion equation subject to nonlinear boundary conditions. We obtain the conditions under which the solutions may exist globally or blow up in finite time. Moreover, an upper bound of the blow-up time, an upper estimate of the blow-up rate, and an upper estimate of the global solutions are given. At last we give two examples to which the theorems obtained in the paper may be applied.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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