Title: Some Blow-Up Problems for a Semilinear Parabolic Problem

Abstract: In this talk, we present a quasi-monotonicity formula for
the solution to a semilinear parabolic Dirichlet problem. Applying it
to subcritical case, we obtain the blow-up of solutions is of type
I. As an application to supercritical case, it is shown that some
partial regularity results hold true for some suitable global weak
solutions.