English

On a bilinear restriction estimate for Schr\"odinger equations on 2D waveguide

Analysis of PDEs 2023-12-01 v1 Classical Analysis and ODEs

Abstract

In this article, we prove a bilinear estimate for Schr\"odinger equations on 2d waveguide, R×T\mathbb{R}\times \mathbb{T}. We hope it may be of use in the further study of concentration compactness for cubic NLS on R×T\mathbb{R}\times \mathbb{T}.

Keywords

Cite

@article{arxiv.2311.18541,
  title  = {On a bilinear restriction estimate for Schr\"odinger equations on 2D waveguide},
  author = {Yangkendi Deng},
  journal= {arXiv preprint arXiv:2311.18541},
  year   = {2023}
}

Comments

9 pages

R2 v1 2026-06-28T13:36:56.129Z