18 citations · 26 across the 22 of their papers we have counts for
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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…
On the effect of randomization on supercritical heat equations
Eliseo Luongo
Recently, in \cite{glogic2025non}, it has been shown that the focusing power nonlinearity heat equation \begin{equation}\label{Eq:Heat_abstract}\tag{NLH} \partial_t u -Δu = |u|^{p-…
Zero-noise selection and Large Deviations in for the stochastic transport equation beyond DiPerna-Lions
Gianluca Crippa, Eliseo Luongo, Umberto Pappalettera
We consider solutions of the stochastic transport equation with drift in . We show strong existence and pathwise uniqueness of solutions in…
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 $…