Our goal in this monograph is twofold. First, we would like to develop a robust method to
construct global time-quasiperiodic solutions of large families of quasilinear evolution …

We prove a reducibility result for a class of quasi-periodically forced linear wave equations
on the-dimensional torus of the form where the perturbation is a second order operator of the …

We study the reducibility of a linear Schrodinger equation subject to a small unbounded
almost periodic perturbation which is analytic in time and space. Under appropriate …

In this paper we prove the existence and the stability of small-amplitude quasi-periodic
solutions with Sobolev regularity, for the 1-dimensional forced Kirchhoff equation with …

In this paper we prove the existence of small-amplitude quasi-periodic solutions with
Sobolev regularity, for the d-dimensional forced Kirchhoff equation with periodic boundary …

We prove local in time well-posedness for a large class of quasilinear Hamiltonian, or parity
preserving, Schrödinger equations on the circle. After a paralinearization of the equation, we …

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 of Bourgain …

In this paper we consider time dependent Schrödinger equations on the one-dimensional
torus T:= R/(2 π Z) of the form∂ tu= i V (t)[u] where V (t) is a time dependent, self-adjoint …

In this paper we consider Schrödinger equations with sublinear dispersion relation on the
one-dimensional torus T:= R/(2 π Z). More precisely, we deal with equations of the form∂ …

In the present paper, the reducibility is derived for the wave equations with finitely smooth
and time-quasi-periodic potential subject to periodic boundary conditions. More exactly, the …