11 citations · 27 across the 16 of their papers we have counts for
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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…
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…
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…
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…
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…
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…