Parabolic NTA domains in $\mathbb R^2$
Max Engelstein · arXiv (Cornell University) · 2016
We show that each connected component of the boundary of a parabolic NTA domain in $\mathbb R^2$ is given by a graph. We then apply this observation to classify blowup solutions in $\mathbb R^2$ to a free boundary problem for caloric measure first considered by Hofmann, Lewis and Nyström (Duke Math J. 2004).