Uniform blow-up rate for diffusion equations with nonlocal nonlinear source |
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Authors: | Qilin Liu Yuxiang Li Hongjun Gao |
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Institution: | 1. Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, PR China;2. Department of Mathematics, Southeast University, Nanjing 210096, PR China;3. Department of Mathematics, Nanjing Normal University, Nanjing 210097, PR China |
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Abstract: | In this paper, we investigate the blow-up rate of solutions of diffusion equations with nonlocal nonlinear reaction terms. For large classes of equations, we prove that the solutions have global blow-up and that 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: | Semi-linear diffusion equations Uniform blow-up rate Nonlocal reaction |
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