B. Schörkhuber

activity

20192026

most citedThreshold for blowup for the supercritical cubic wave equation

12 citations · 22 across the 6 of their papers we have counts for

collaborators

7 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 $R^{d}$ into $S^{d}$ in supercritical dimensions $d \in {3, 4, 5, 6}$ . 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 $c > 0$ . For $c \in (0, c^{*})$ , t…

math.AP2025

Stable blowup for supercritical wave maps into perturbed spheres

Roland Donninger, Birgit Schörkhuber, Alexander Wittenstein

We consider wave maps from $(1 + d)$ -dimensional Minkowski space, $d \geq 3$ , into rotationally symmetric manifolds which arise from small perturbations of the sphere $S^{d}$ . We…

math.AP2024

Self-similar blowup for the cubic Schrödinger equation

Roland Donninger, Birgit Schörkhuber

We give a rigorous proof for the existence of a finite-energy, self-similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer-a…

math.AP2022★ 1 cited

Stable singularity formation for the Keller-Segel system in three dimensions

Irfan Glogić, Birgit Schörkhuber

We consider the parabolic-elliptic Keller-Segel system in dimensions $d \geq 3$ , which is the mass supercritical case. This system is known to exhibit rich dynamical behavior inclu…

math.AP2019★ 9 cited

Nonlinear stability of homothetically shrinking Yang-Mills solitons in the equivariant case

Irfan Glogić, Birgit Schörkhuber

We study the heat flow for Yang-Mills connections on $R^{d} \times S O (d)$ . It is well-known that in dimensions $5 \leq d \leq 9$ this model admits homothetically shrinking so…

math.AP2019★ 12 cited

Threshold for blowup for the supercritical cubic wave equation

Irfan Glogić, Maciej Maliborski, Birgit Schörkhuber

We consider the focusing cubic wave equation in the energy supercritical case, i.e., in dimensions $d \geq 5$ . For this model an explicit nontrivial self-similar blowup solution wa…