Abstract
This article deals with a fast diffusion system with inner absorption and coupled through boundary. As the results of the interaction among the multi-nonlinearities in the system, the critical global existence exponents were established, which are simply described via a pair of parameters solving the characteristic algebraic system introduced: the solutions are non-global for suitable large initial data if γ1 or γ2 > 0, and global if γ1, γ2 ≤ 0 for more non-trivial case of α1 ≤ m.
Acknowledgements
The authors are grateful to the referee for his/her valuable suggestions on the original manuscript. This work was partially supported by NNSF of China (10771226), partially supported by Natural Science Foundation Project of CQ CSTC (2007BB0124) and partially supported by Natural Science Foundation Project of China West Normal University (07B047).