Uniform blow-up rate for a nonlocal degenerate parabolic equations |
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Authors: | Liu Qilin Li Yuxiang Gao Hongjun |
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Institution: | 1. Department of Mathematics, Nanjing Normal University, Nanjing 210097, PR China;2. Department of Mathematics, Southeast University, Nanjing 210096, PR China |
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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)|∞ is precisely determined. |
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Keywords: | 35K57 35K65 |
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