English

New invariant surface measures for the cubic Schr\"odinger equation

Analysis of PDEs 2025-07-29 v2

Abstract

We construct new invariant measures supported on mass level sets for the cubic defocusing nonlinear Schr\"odinger equation in dimensions 11 and 22.

Keywords

Cite

@article{arxiv.2502.02162,
  title  = {New invariant surface measures for the cubic Schr\"odinger equation},
  author = {Jean-Baptiste Casteras and Ana Bela Cruzeiro and Annie Millet},
  journal= {arXiv preprint arXiv:2502.02162},
  year   = {2025}
}
R2 v1 2026-06-28T21:31:52.551Z