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.
Acknowledgements
The authors would like to thank the anonymous referees for their suggestions and comments on the original manuscript. This work was partially supported by NSF of China (10771226), partially supported by Innovative Talent Training Project, the Third Stage of ‘211 Project’, Chongqing University (Project Number S-09110) and partially supported by Foundation Project of China Yangtze Normal University.