A Quasilinear Parabolic System with Nonlocal Boundary Condition
1 College of Mathematics and Computer Sciences, Yangtze Normal University, Fuling, Chongqing 408100, China
2 College of Mathematics and Physics, Chongqing University, Chongqing 401331, China
Boundary Value Problems 2011, 2011:750769 doi:10.1155/2011/750769Published: 18 August 2010
We investigate the blow-up properties of the positive solutions to a quasilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows the important influence of nonlocal boundary. And then we establish the precise blow-up rate estimate. These extend the resent results of Wang et al. (2009), which considered the special case , and Wang et al. (2007), which studied the single equation.