Global existence and nonexistence for a class of degenerate parabolic systems

@inproceedings{Deng2003GlobalEA,
  title={Global existence and nonexistence for a class of degenerate parabolic systems},
  author={Weibing Deng and Li Yuxiang and Xie Chunhong},
  year={2003}
}
This paper investigates the finite time blow-up and global existence of the positive solution of the nonlinear degenerate parabolic system ut=f1(u)(Δu+a1v),vt=f2(v)(Δv+a2u),x∈Ω,t>0 with homogeneous Dirichlet boundary data. A necessary and sufficient condition for global existence of the solution is derived.