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math.AP2025
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-…
math.AP2025
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…
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 $…