Global existence and blow-up of solutions to reaction-diffusion system with a weighted nonlocal source |
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| Authors: | JIANG Liang-jun WANG Yue-sheng |
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| Institution: | 1. College of Mathematics and Information Technology, Nanjing Xiaozhuang University, Nanjing 211171, P. R. China
2. Shanghai University Press, Shanghai University, Shanghai 200444, P. R. China |
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| Abstract: | In this paper, we study a semi-linear reaction-diffusion system with a weighted nonlocal source, subject to the null Dirichlet
boundary condition. Under certain conditions, we prove that the classical solution exists globally and blows up in finite
time respectively, and then obtain the uniform blow-up rate in the interior. |
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| Keywords: | reaction-diffusion system nonlocal source uniform blow-up profile weight function simultaneous blow-up |
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