3 papers
math.AP2026
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 into in supercritical dimensions . It is well known that in each of…
math.AP2026
Stable blowup profile for a semilinear heat equation with spatially inhomogeneous nonlinearity
Irfan Glogić, Sarah Kistner, Birgit Schörkhuber
We study the focusing semilinear heat equation with an additional defocusing Hénon-type nonlinearity, the coupling of which is measured by a constant . For , t…
math.AP2023
Existence and stability of shrinkers for the harmonic map heat flow in higher dimensions
Irfan Glogić, Sarah Kistner, Birgit Schörkhuber
We study singularity formation for the heat flow of harmonic maps from . For each , we construct a compact, -dimensional, rotationally symmetric target manifold…