200 citations · 546 across the 22 of their papers we have counts for
4 papers · 1 filter
Global regularity for the energy-critical NLS on
Benoit Pausader, Nikolay Tzvetkov, Xuecheng Wang
We establish global existence for the energy-critical nonlinear Schrödinger equation on . This follows similar lines to the work on but requires new ex…
On the propagation of weakly nonlinear random dispersive waves
Anne-Sophie de Suzzoni, Nikolay Tzvetkov
We study several basic dispersive models with random periodic initial data such that the different Fourier modes are independent random variables. Motivated by the vast Physics lit…
Invariant measures and long time behaviour for the Benjamin-Ono equation
Nikolay Tzvetkov, Nicola Visciglia
We study the Benjamin-Ono equation, posed on the torus. We prove that an infinite sequence of weighted gaussian measures, constructed in our previous work, are invariant by the flo…
Strichartz estimates for the periodic non elliptic Schrodinger equation
Nicolas Godet, Nikolay Tzvetkov
The purpose of this note is to prove sharp Strichartz estimates with derivative losses for the non elliptic Schrodinger equation posed on the 2 dimensional torus.