Nicola De Nitti

activity

20242026

collaborators

8 papers

math.AP2026

Superharmonicity of the fractional ground state

Nicola De Nitti, Xavier Fernández-Real

Let $s \in (0, 1)$ . We prove that the positive ground state $u$ of the fractional Laplacian $(- Δ)^{s}$ on an arbitrary open set $Ω$ , whenever it exists, satisfies $- Δ u > λ_{s} (Ω)^{1/ s} u$ in…

math.AP2026

Stability and instability of a one-dimensional MHD model

Nicola De Nitti, Jie Guo, Quansen Jiu

We consider a one-dimensional magnetohydrodynamics model introduced by Dai \textit{et al.}~(2023), in a parameter regime where, in the absence of a magnetic field, the system reduc…

math.AP2026

Fractional cross-diffusion in a bounded domain: existence, weak-strong uniqueness, and long-time asymptotics

Nicola De Nitti, Nicola Zamponi

We study a fractional cross-diffusion system that describes the evolution of multi-species populations in the regime of large-distance interactions in a bounded domain. We prove ex…

math.AP2025

Controllability of a One-Dimensional Dynamic Debonding Model

Nicola De Nitti, Arick Shao

We investigate a one-dimensional dynamic debonding model, introduced by Freund (1990), in which the wave equation is coupled with a Griffith criterion governing the propagation of…

math.PR2025

Scaling limits for fractional polyharmonic Gaussian fields

Nicola De Nitti, Florian Schweiger

This work is concerned with fractional Gaussian fields, i.e. Gaussian fields whose covariance operator is given by the inverse fractional Laplacian $(- I^)^{- s}$ (where, in particul…

math.AP2025

Existence and finite speed of propagation of solutions for a multi-dimensional fractional thin-film equation

Nicola De Nitti, Stefano Lisini, Antonio Segatti +1

In this paper, we discuss existence and finite speed of propagation for the solutions to an initial-boundary value problem for a family of fractional thin-film equations in a bound…