1 citations · 4 across the 12 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…