1 citations · 2 across the 4 of their papers we have counts for
4 papers
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…
Co-dimension one stable blowup for the quadratic wave equation beyond the light cone
Po-Ning Chen, Roland Donninger, Irfan Glogić +2
We study the stability of an explicitly known, non-trivial self-similar blowup solution of the quadratic wave equation in the lowest energy supercritical dimension . This so…
Stable self-similar blowup in the supercritical heat flow of harmonic maps
Paweł Biernat, Roland Donninger, Birgit Schörkhuber
We consider the heat flow of corotational harmonic maps from to the three-sphere and prove the nonlinear asymptotic stability of a particular self-similar shrinker th…
A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on L^2(R^d)
Roland Donninger, Birgit Schörkhuber
We consider Ornstein-Uhlenbeck operators perturbed by a radial potential. Under weak assumptions we prove a spectral mapping theorem for the generated semigroup. The proof relies o…