Analysis of Blowup for a Nonlinear Degenerate Parabolic Equation

In this paper the nonlinear degenerate parabolic equation ut = uα (Δu + u) subject to Dirichlet boundary conditions is studied. The finite time blowup result, together with an estimate of the blowup time, is found. The blowup set with positive measure and the asymptotic behavior of solution near the blowup time are analyzed in some detail via the similarity solutions.