3 papers
math.AP2025
Non-uniqueness of mild solutions to supercritical heat equations
Irfan Glogić, Martina Hofmanová, Theresa Lange +1
We consider the focusing power nonlinearity heat equation \begin{equation}\label{Eq:Heat_abstract}\tag{NLH} \partial_t u -Δu = |u|^{p-1}u, \quad p>1, \end{equation} in dimensions $…
math.AP2023
Global-in-space stability of singularity formation for Yang-Mills fields in higher dimensions
Irfan Glogić
We continue our work \cite{Glo22a} on the analysis of spatially global stability of self-similar blowup profiles for semilinear wave equations in the radial case. In this paper we…
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…