Global existence and blow-up of solutions to a degenerate parabolic system with nonlocal sources and nonlocal boundaries

作者：Yang, Lin^*; Fan, Chaoping

来源：Monatshefte fur Mathematik, 2014, 174(3): 493-510.

DOI：10.1007/s00605-013-0580-4

• Nonlocal source
• Global solution
• Degenerate parabolic system
• Blow-up rates

This paper deals with a nonlinear degenerate parabolic system with nonlocal source and nonlocal boundaries. By super-solution, sub-solution and auxiliary functions, a criteria for nonnegative solution of global existence and blow-up in finite time is obtained for this degenerate nonlocal problem. Finally, the blow-up rates of blow-up solutions are also estimated.

• 出版日期2014-7
• 单位湖南大学