Existence of a stable shrinker for the corotational harmonic map heat flow in higher space dimensions

Johannes Angerer, Sarah Kistner, Birgit Schörkhuber

We study singularity formation for the heat flow of harmonic maps from ${\mathbb{R}}^d$ into ${\mathbb{S}}^d$ in supercritical dimensions $d\in \{3,4,5,6\}$. It is well known that in each of…