Blowup of Solution for the Heat Equation with a Nonlinear Boundary Condition

In this presentation we shall report some recent progress about the profile near the blowup time for the solution of the heat equation: (1.1) u t   =   Δ u   for   x ∈ Ω ,   t > 0 , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072140/faeac70b-e389-4ea4-8b5b-5a836c2a1f73/content/eq2669.tif"/>