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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Acknowledgments
This work was partially supported by the NSF of Hunan Province (07JJ3007) and the Foundation of Innovation Program of Higher Institution of Hunan Province (No. 11K010). The authors would like to thank the referee for the suggestions on improving the presentation of this paper.
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Communicated by A. Constantin.
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Yang, L., Fan, C. Global existence and blow-up of solutions to a degenerate parabolic system with nonlocal sources and nonlocal boundaries. Monatsh Math 174, 493–510 (2014). https://doi.org/10.1007/s00605-013-0580-4
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DOI: https://doi.org/10.1007/s00605-013-0580-4