Blow-up for a degenerate parabolic equation with nonlocal source and nonlocal boundary |
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| Authors: | Chunlai Mu Yongsheng Mi |
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| 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, P.R. China |
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| Abstract: | In this article, we investigate the blow-up properties of the positive solutions for a doubly degenerate parabolic equation with nonlocal source and nonlocal boundary condition. The conditions on the existence and nonexistence of global positive solutions are given. Moreover, we give the precise blow-up rate estimate and the uniform blow-up estimate for the blow-up solution. |
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| Keywords: | degenerate parabolic equation blow-up nonlocal boundary blow-up rate uniform blow-up profile |
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