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A degenerate parabolic system with nonlocal boundary condition |
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| Authors: | Yongsheng Mi Chunlai Mu Botao Chen |
| Institution: | 1. College of Mathematics and Statistics, Chongqing University , Chongqing 400044, P.R. China;2. College of Mathematics and Computer Sciences, Yangtze Normal University , Fuling 408100, Chongqing, P.R. China miyongshen@163.com;4. College of Mathematics and Statistics, Chongqing University , Chongqing 400044, P.R. China;5. College of Mathematics and Computer Sciences, Yangtze Normal University , Fuling 408100, Chongqing, P.R. China |
| Abstract: | In this article, we investigate the blow-up properties of the positive solutions to a degenerate parabolic system with nonlocal boundary condition. We give the criteria for finite time blow-up or global existence, which shows the important influence of nonlocal boundary. And then we establish the precise blow-up rate estimate for small weighted nonlocal boundary. |
| Keywords: | nonlocal boundary condition blow-up blow-up rate porous medium equation |