Unbounded Sobolev trajectories and modified scattering theory for a wave guide nonlinear Schrödinger equation

The cubic Szegő equation

(2017) Patrick Gérard et al.   ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE

Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation

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

Growth of Sobolev norms for the quintic NLS onT2

(2015) Emanuele Haus et al.   Analysis & PDE

Growth of Sobolev Norms in the Cubic Nonlinear Schrödinger Equation with a Convolution Potential

(2014) Marcel Guardia   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Large-time blowup for a perturbation of the cubic Szegő equation

(2014) Haiyan Xu   Analysis & PDE

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

(2013) Zaher Hani   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

First and Second Order Approximations for a Nonlinear Wave Equation

(2013) Oana Pocovnicu   Journal of Dynamics and Differential Equations

Effective integrable dynamics for a certain nonlinear wave equation

(2013) Patrick Gérard et al.   Analysis & PDE

Small Data Scattering for the Nonlinear Schrödinger Equation on Product Spaces

(2011) Nikolay Tzvetkov et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

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

(2011) Oana Pocovnicu   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Invariant tori for the cubic Szegö equation

(2011) Patrick Gérard et al.   INVENTIONES MATHEMATICAE

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

(2010) J. Colliander et al.   INVENTIONES MATHEMATICAE