activity
20042026
most citedA KAM algorithm for the resonant non--linear Schrödinger equation

123 citations · 770 across the 37 of their papers we have counts for

collaborators

42 papers

math.DS2026

On the integrability of the Kirchhoff-Pohozaev equation on tori

Dario Bambusi, Emanuele Haus, Simone Marrocco +1

In this paper we study the Kirchhoff-Pohozaev equation introduced in \cite{P2} and its constants of motion (see \cite{BoitiManfrin2025}, \cite{BoitiManfrin2026}) on dimensional…

math.DS2026

Long time stability for Lagrangian tori in infinite dimensional lattice systems

Livia Corsi, Michela Procesi

We consider a mechanical system of infinitely many rotators weakly interacting with each other and prove that the infinite dimensional invariant tori provided by \cite{CGP} are Lag…

math.DS2025

Invariant sets through resonant normal form for infinite dimensional holomorphic vector fields

Jessica Elisa Massetti, Michela Procesi, Laurent Stolovitch

In this paper, we study infinite dimensional holomorphic vector fields on sequence spaces, having a fixed point at . Under suitable hypotheses we prove the existence of analytic…

math.AP2025★ 1 cited

Asymptotically full measure sets of almost-periodic solutions for the NLS equation

Luca Biasco, Livia Corsi, Guido Gentile +1

We study the dynamics of solutions for a family of nonlinear Schroedinger equations on the circle, with a smooth convolution potential and Gevrey regular initial data. Our main res…

math.DS2024

Maximal tori in infinite-dimensional Hamiltonian systems: a Renormalization Group approach

Livia Corsi, Guido Gentile, Michela Procesi

We study the existence of infinite-dimensional invariant tori in a mechanical system of infinitely many rotators weakly interacting with each other. We consider explicitly interact…

math.AP2024

Reducibility of Klein-Gordon equations with maximal order perturbations

Massimiliano Berti, Roberto Feola, Michela Procesi +1

We prove that all the solutions of a quasi-periodically forced linear Klein-Gordon equation where $ Q(ωt) := a^{(2)}(ωt, x) \partial_{xx} + a^…