3 citations · 7 across the 12 of their papers we have counts for
4 papers · 2 filters
Long time dynamics of Schrödinger and wave equations on flat tori
Massimiliano Berti, Alberto Maspero
We consider a class of linear time dependent Schrödinger equations and quasi-periodically forced nonlinear Hamiltonian wave/Klein Gordon and Schrödinger equations on arbitrary flat…
Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation
Marcel Guardia, Zaher Hani, Emanuele Haus +2
We consider the defocusing cubic nonlinear Schrödinger equation (NLS) on the two-dimensional torus. The equation admits a special family of elliptic invariant quasiperiodic tori ca…
Reducibility for a fast driven linear Klein-Gordon equation
Luca Franzoi, Alberto Maspero
We prove a reducibility result for a linear Klein-Gordon equation with a quasi-periodic driving on a compact interval with Dirichlet boundary conditions. No assumptions are made on…
Lower bounds on the growth of Sobolev norms in some linear time dependent Schrödinger equations
Alberto Maspero
In this paper we consider linear, time dependent Schrödinger equations of the form , where is a positive self-adjoint operator with discrete sp…