Long-time Strichartz estimates on 3D waveguide with applications
Analysis of PDEs
2026-01-29 v1
Abstract
We study long-time Strichartz estimates for the Schr\"{o}dinger equation on waveguide manifolds, and use them to establish upper bounds on the growth of Sobolev norms for the nonlinear Schr\"{o}dinger equation on three-dimensional waveguides.
Cite
@article{arxiv.2601.20392,
title = {Long-time Strichartz estimates on 3D waveguide with applications},
author = {Yangkendi Deng and Boning Di and Jiao Ma and Dunyan Yan and Kailong Yang},
journal= {arXiv preprint arXiv:2601.20392},
year = {2026}
}
Comments
21pages