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.
Acknowledgements
The authors thank the anonymous referees for their careful reading and useful suggestions. This work is supported by NSF of China (11071266) and by NSF project of CQ CSTC (2010BB9218).