Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844549 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 9 Pages |
Abstract
In this paper, we introduce a new method for investigating the rate of blow-up of solutions of diffusion equations with nonlocal nonlinear reaction terms. In some cases, we prove that the solutions have global blow-up and the rate of blow-up is uniform in all compact subsets of the domain. In each case, the blow-up rate of |u(t)|∞|u(t)|∞ is precisely determined.
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Authors
Liu Qilin, Li Yuxiang, Gao Hongjun,