Global existence and blow-up of solutions to a degenerate parabolic system with nonlocal sources and nonlocal boundaries |
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Authors: | Lin Yang Chaoping Fan |
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Affiliation: | 1. College of Mathematics, Hunan University, Changsha, 410082, China
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Abstract: | This paper deals with a nonlinear degenerate parabolic system with nonlocal source and nonlocal boundaries. By super-solution, sub-solution and auxiliary functions, a criteria for nonnegative solution of global existence and blow-up in finite time is obtained for this degenerate nonlocal problem. Finally, the blow-up rates of blow-up solutions are also estimated. |
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