Bounds for the blowup time of the solutions to quasi-linear parabolic problems

In this paper, we obtain the lower and the upper bounds of the blowup time of the solutions to quasi-linear parabolic problems subject to Dirichlet(or Neumann) boundary condition. Our results are suitable for the problems with any smooth bounded domain ${Omega subset mathbb{R}^n}$ and ${n geq 3}$ . In some special cases, we can even get the exact values of blowup time.