A Degenerate and Singular Parabolic System Coupled Through Boundary Conditions

作者：Mi Yong Sheng^*; Mu Chun Lai; Zhou Shou Ming

来源：Bulletin of the Malaysian Mathematical Sciences Society, 2013, 36(1): 229-241.

• Critical global existence curve
• critical Fujita curve
• nonlinear boundary flux
• blow-up

The paper deals with the global existence and nonexistence for degenerate and singular parabolic system with nonlinear boundary condition. By using the comparison principle and constructing the self-similar super-solution and sub-solution, we obtain the critical global existence curve. The critical curve of Fujita type is conjectured with the aid of some new results. An interesting feature of our results is that the critical global existence curve and the critical Fujita curve are determined by a matrix and by the solution of a linear algebraic system, respectively.

• 出版日期2013
• 单位重庆大学