Global solutions and blow-up problems for a nonlinear degenerate parabolic system coupled via nonlocal sources

作者：Lu Haihua^*; Wang MingXin

来源：Journal of Mathematical Analysis and Applications, 2007, 333(2): 984-1007.

DOI：10.1016/j.jmaa.2006.11.023

• degenerate parabolic system
• nonlocal sources
• global existence
• blow-up in finite time
• blow-up rates

This paper concerns with a nonlinear degenerate parabolic system coupled via nonlocal sources, subjecting to homogeneous Dirichlet boundary condition. The main aim of this paper is to study conditions on the global existence and/or blow-up in finite time of solutions, and give the estimates of blow-up rates of blow-up solutions.

• 出版日期2007-9-15
• 单位东南大学; 南通大学; 江苏师范大学