Growth of Sobolev norms for the quintic NLS onT2

A KAM algorithm for the resonant non-linear Schrödinger equation

(2015) C. Procesi et al.   ADVANCES IN MATHEMATICS

Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation

(2015) Marcel Guardia et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

An Abstract Nash–Moser Theorem and Quasi-Periodic Solutions for NLW and NLS on Compact Lie Groups and Homogeneous Manifolds

(2014) Massimiliano Berti et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Long-time Instability and Unbounded Sobolev Orbits for Some Periodic Nonlinear Schrödinger Equations

(2013) Zaher Hani   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Sobolev Stability of Plane Wave Solutions to the Cubic Nonlinear Schrödinger Equation on a Torus

(2013) Erwan Faou et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Dynamics on resonant clusters for the quintic non linear Schrödinger equation

(2013) Emanuele Haus et al.   Dynamics of Partial Differential Equations

First and Second Order Approximations for a Nonlinear Wave Equation

(2013) Oana Pocovnicu   Journal of Dynamics and Differential Equations

Quasi-Töplitz Functions in KAM Theorem

(2013) Michela Procesi et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Resonant dynamics for the quintic nonlinear Schrödinger equation

(2012) Benoît Grébert et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

A Normal Form for the Schrödinger Equation with Analytic Non-linearities

(2012) M. Procesi et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Quasi-periodic solutions with Sobolev regularity of NLS on $\mathbb T^d$ with a multiplicative potential

(2012) Massimiliano Berti et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation

(2011) Jiansheng Geng et al.   ADVANCES IN MATHEMATICS

Branching of Cantor Manifolds of Elliptic Tori and Applications to PDEs

(2011) Massimiliano Berti et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Explicit formula for the solution of the Szegö equation on the real line and applications

(2011) Oana Pocovnicu   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

KAM for the nonlinear Schrödinger equation

(2010) L. Hakan Eliasson et al.   ANNALS OF MATHEMATICS

Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation

(2010) J. Colliander et al.   INVENTIONES MATHEMATICAE

Normal Forms for Semilinear Quantum Harmonic Oscillators

(2009) Benoît Grébert et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Logarithmic Bounds on Sobolev Norms for Time Dependent Linear Schrödinger Equations

(2008) W.-M. Wang   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS