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A degenerate parabolic system with localized sources and nonlocal boundary condition |
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| Authors: | Yongsheng Mi Chunlai Mu |
| Institution: | 1. College of Mathematics and Statistics, Chongqing University, Chongqing 400044, China; 2. College of Mathematics and Computer Sciences, Yangtze Normal University, Fuling 408100, China |
| Abstract: | This paper deals with the blow-up properties of the positive solutions to a degenerate parabolic system with localized sources and nonlocal boundary conditions. We investigate the influence of the reaction terms, the weight functions, local terms and localized source on the blow-up properties. We will show that the weight functions play the substantial roles in determining whether the solutions will blow-up or not, and obtain the blow-up conditions and its blow-up rate estimate. |
| Keywords: | Nonlocal boundary condition localized sources blow-up rate Porous medium equation |
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