Special Session 76: 

Blowup problem for the semilinear heat equation with Sobolev critical case

Junichi Harada
Akita University
Japan
Co-Author(s):    Junichi Harada
Abstract:
We study the existence of type II blowup for the Sobolev critical heat equation. We discuss the blowup rate and the asymptotic form of solutions near the singular point. Our argument is a combination of the matched asymptotic expansion technique and the inner outer gluing method.