Umberto Pappalettera

activity

20202025

most citedOn measure-preserving selection of solutions of ODEs

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.AP2025

Dissipative solutions to randomly forced 3D Euler equations

Umberto Pappalettera, Francesco Triggiano

The purpose of this work is twofold. First, we construct probabilistically strong solutions to the three-dimensional Euler equations perturbed by additive noise that are $\mathbb{P…

math.PR2025

Zero-noise selection and Large Deviations in $L_{t}^{\infty} L_{x}^{p}$ for the stochastic transport equation beyond DiPerna-Lions

Gianluca Crippa, Eliseo Luongo, Umberto Pappalettera

We consider $L_{t}^{\infty} L_{x}^{p}$ solutions of the stochastic transport equation with drift in $L_{t}^{\infty} W_{x}^{1, q}$ . We show strong existence and pathwise uniqueness of solutions in…

math.AP2023★ 1 cited

On measure-preserving selection of solutions of ODEs

Umberto Pappalettera

For every $k \in N$ and $α \in (0, 1)$ we construct a divergence-free $u \in C^{k} ([0, T], C^{α} (T^{d}, R^{d}))$ , $d \geq 2$ , such that there is no measurable selecti…

math.PR2020

Large Deviations for Stochastic equations in Hilbert Spaces with non-Lipschitz drift

Umberto Pappalettera

We prove a Freidlin-Wentzell result for stochastic differential equations in infinite-dimensional Hilbert spaces perturbed by a cylindrical Wiener process. We do not assume the dri…

Dissipative solutions to randomly forced 3D Euler equations

Zero-noise selection and Large Deviations in Lt∞​Lxp​ for the stochastic transport equation beyond DiPerna-Lions

On measure-preserving selection of solutions of ODEs

Large Deviations for Stochastic equations in Hilbert Spaces with non-Lipschitz drift

Zero-noise selection and Large Deviations in $L_{t}^{\infty} L_{x}^{p}$ for the stochastic transport equation beyond DiPerna-Lions