5 papers
Three self-similar solutions of Yang-Mills equations in high odd dimensions
Piotr BizoÅ, Piotr Bizoń, Irfan GlogiÄ +2
We consider spherically symmetric Yang-Mills equations with gauge group in dimensional Minkowski spacetime. For any given odd , we establish existence and u…
Stable blowup profile for a semilinear Heat Equation with spatially inhomogeneous nonlinearity
Irfan GlogiÄ, 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 ,…
Existence and stability of discretely self-similar blowup for a wave maps type equation
Irfan GlogiÄ, David Hilditch, David Wallauch
We study finite-time blowup for a nonlinear wave equation for maps from the Minkowski space into the 1-sphere , whose nonlinearity exhibits a null-…
Self-similar blowup from arbitrary data for supercritical wave maps with additive noise
Irfan GlogiÄ, Martina Hofmanová, Eliseo Luongo
We consider stochastically perturbed wave maps from into , in all energy-supercritical dimensions . We show that corotational non-degener…
Non-uniqueness of mild solutions to supercritical heat equations
Irfan GlogiÄ, Martina Hofmanová, Theresa Lange +1
We consider the focusing power nonlinearity heat equation \begin{equation}\label{Eq:Heat_abstract}\tag{NLH} \partial_t u -Îu = |u|^{p-1}u, \quad p>1, \end{equation} in dimensions…