8 citations · 17 across the 11 of their papers we have counts for
12 papers
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…
Three self-similar solutions of Yang-Mills equations in high odd dimensions
Piotr Bizoń, Irfan Glogić, Arthur Wasserman
We consider spherically symmetric Yang-Mills equations with gauge group in dimensional Minkowski spacetime. For any given odd , we establish existence and u…
Existence and stability of discretely self-similar blowup for a wave maps type equation
Irfan Glogić, 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 Glogić, 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 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 $…
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…
On blowup for the supercritical quadratic wave equation
Elek Csobo, Irfan Glogić, Birgit Schörkhuber
We study singularity formation for the focusing quadratic wave equation in the energy supercritical case, i.e., for . We find in closed form a new, non-trivial, radial, s…
Stable blowup for the supercritical hyperbolic Yang-Mills equations
Irfan Glogić
We consider the Yang-Mills equations in -dimensional Minkowski spacetime. It is known that in the supercritical case, i.e., for , these equations admit closed form…
Strichartz estimates for the one-dimensional wave equation
Roland Donninger, Irfan Glogić
We study the hyperboloidal initial value problem for the one-dimensional wave equation perturbed by a smooth potential. We show that the evolution decomposes into a finite-dimensio…
Co-dimension one stable blowup for the supercritical cubic wave equation
Irfan Glogić, Birgit Schörkhuber
For the focusing cubic wave equation, we find an explicit, non-trivial self-similar blowup solution , which is defined on the whole space and exists in all supercritical dim…
On the existence and stability of blowup for wave maps into a negatively curved target
Roland Donninger, Irfan Glogić
We consider wave maps on -dimensional Minkowski space. For each dimension we construct a negatively curved, -dimensional target manifold that allows for the exi…
On blowup of co-rotational wave maps in odd space dimensions
Athanasios Chatzikaleas, Roland Donninger, Irfan Glogić
We consider co-rotational wave maps from the -dimensional Minkowski space into the -sphere for odd. This is an energy-supercritical model which is known to exhi…