2D-Defocusing Nonlinear Schr\"odinger Equation with Random Data on Irrational Tori
Analysis of PDEs
2019-10-09 v1
Abstract
We revisit the work of Bourgain on the invariance of the Gibbs measure for the cubic, defocusing nonlinear Schr\"odinger equation in 2D on a square torus, and we prove the equivalent result on any tori.
Cite
@article{arxiv.1910.03199,
title = {2D-Defocusing Nonlinear Schr\"odinger Equation with Random Data on Irrational Tori},
author = {Chenjie Fan and Yumeng Ou and Gigliola Staffilani and Hong Wang},
journal= {arXiv preprint arXiv:1910.03199},
year = {2019}
}
Comments
42 pages