On a bilinear restriction estimate for Schrödinger equations on 2D waveguide

doi:10.1016/j.jde.2024.11.003

On a bilinear restriction estimate for Schrödinger equations on 2D waveguide

Deng, Yangkendi

In this article, we prove a bilinear estimate for Schrödinger equations on 2d waveguide, R×T. We hope it may be of use in the further study of concentration compactness for cubic NLS on R×T.

Publication:

Journal of Differential Equations

Pub Date:

January 2025

DOI:

10.1016/j.jde.2024.11.003

10.48550/arXiv.2311.18541

arXiv:

arXiv:2311.18541

Bibcode:

2025JDE...416.1825D

Keywords:

Mathematics - Analysis of PDEs;
Mathematics - Classical Analysis and ODEs

E-Print:

9 pages

ADS

On a bilinear restriction estimate for Schrödinger equations on 2D waveguide

Abstract