11 citations · 27 across the 16 of their papers we have counts for
18 papers
On the control of high Sobolev norms for the Wave equation on over exponentially long times
Roberto Feola, Jessica Elisa Massetti
We consider a one-parameter family of nonlinear wave equations on the -dimensional torus, with polynomial nonlinearities of arbitrary degree , where . We investiga…
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…
Non-resonant conditions for the Klein-Gordon equation on the circle
Roberto Feola, Jessica Elisa Massetti
We consider the infinite dimensional vector of frequencies , arising form a linear Klein-Gordon equation on the one dimensional…
Attractive invariant circles à la Chenciner
Jessica Elisa Massetti
Studying general perturbations of a dissipative twist map depending on two parameters, a frequency and a dissipation , the existence of a Cantor set of curves i…
Local well posedness for a system of quasilinear pdes modelling suspension bridges
Roberto Feola, Filippo Giuliani, Felice Iandoli +1
In this paper we provide a local well posedness result for a quasilinear beam-wave system of equations on a one-dimensional spatial domain under periodic and Dirichlet boundary con…
On the lifespan of solutions and control of high Sobolev norms for the completely resonant NLS on tori
Roberto Feola, Jessica Elisa Massetti
We consider a completely resonant nonlinear Schrödinger equation on the -dimensional torus, for any , with polynomial nonlinearity of any degree , , which…
Analytic Smoothing and Nekhoroshev estimates for Hölder steep Hamiltonians
Santiago Barbieri, Jean-Pierre Marco, Jessica Elisa Massetti
In this paper we prove the first result of Nekhoroshev stability for steep Hamiltonians in Hölder class. Our new approach combines the classical theory of normal forms in analytic…
Sub-exponential stability for the Beam equation
Roberto Feola, Jessica Elisa Massetti
We consider a one-parameter family of beam equations with Hamiltonian non-linearity in one space dimension under periodic boundary conditions. In a unified functional framework we…
On the fragility of periodic tori for families of symplectic twist maps
Marie-Claude Arnaud, Jessica Elisa Massetti, Alfonso Sorrentino
In this article we study the fragility of Lagrangian periodic tori for symplectic twist maps of the -dimensional annulus and prove a rigidity result for completely integrable o…
Small amplitude weak Sobolev almost periodic solutions for the 1d NLS
Luca Biasco, Jessica Elisa Massetti, Michela Procesi
All the almost periodic solutions for non integrable PDEs found in the literature are very regular (at least ) and, hence, very close to quasi periodic ones. This fact is…
Flexibility and analytic smoothing in averaging theory
Santiago Barbieri, Jean-Pierre Marco, Jessica Elisa Massetti
Using a new strategy, we extend the classical Nekhoroshev's estimates to the case of Hölder regular steep near-integrable hamiltonian systems, the stability times being polynomiall…
On the rigidity of integrable deformations of twist maps and Hamiltonian flows
Jessica Elisa Massetti, Alfonso Sorrentino
In this article we investigate rigidity properties of integrable area-preserving twist maps of the cylinder. More specifically, we prove that if a deformation of the standard integ…
On the construction of Sobolev Almost periodic invariant tori for the 1d NLS
Luca Biasco, Jessica Elisa Massetti, Michela Procesi
We discuss a method for the construction of almost periodic solutions of the one dimensional analytic NLS with only Sobolev regularity both in time and space. This is the first res…
Almost periodic invariant tori for the NLS on the circle
Luca Biasco, Jessica Elisa Massetti, Michela Procesi
In this paper we study the existence and linear stability of almost periodic solutions for a NLS equation on the circle with external parameters. Starting from the seminal result o…
Exponential Stability Estimates for the 1D NLS
Biasco Luca, Jessica Elisa Massetti, Michela Procesi
We study stability times for a family of parameter dependent nonlinear Schrödinger equations on the circle, close to the origin. Imposing a suitable Diophantine condition (first in…
Normal form à la Moser for diffeomorphisms and generalization of Rüssmann's translated curve theorem to higher dimension
Jessica Elisa Massetti
We prove a discrete time analogue of 1967 Moser's normal form of real analytic perturbations of vector fields possessing an invariant, reducible, Diophantine torus; in the case of…
The parameters space of the spin-orbit problem I. Normally hyperbolic invariant circles
Jessica Elisa Massetti
In this paper we start a global study of the parameter space (dissipation, perturbation, frequency) of the dissipative spin-orbit problem in Celestial Mechanics with the aim of del…
Normal forms for perturbations of systems possessing a Diophantine invariant torus
Jessica Elisa Massetti
In 1967 Moser proved the existence of a normal form for real analytic perturbations of vector fields possessing a reducible Diophantine invariant quasi-periodic torus. In this pape…