A Quasilinear Parabolic System with Nonlocal Boundary Condition

Botao Chen, Yongsheng Mi, Chunlai Mu
2011 Boundary Value Problems  
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 m 1 m 2 1, p 1 0, q 2 0, and , which studied the single equation.
doi:10.1155/2011/750769 fatcat:2buh2ietenexrob54ilpwdlu4m