On bilinear Strichartz estimates on waveguides with applications
Analysis of PDEs
2024-07-02 v2
Abstract
We study local-in-time and global-in-time bilinear Strichartz estimates for the Schr\"odinger equation on waveguides. As applications, we apply those estimates to study global well-posedness of nonlinear Schr\"odinger equations on these waveguides.
Cite
@article{arxiv.2402.02916,
title = {On bilinear Strichartz estimates on waveguides with applications},
author = {Yangkendi Deng and Chenjie Fan and Kailong Yang and Zehua Zhao and Jiqiang Zheng},
journal= {arXiv preprint arXiv:2402.02916},
year = {2024}
}
Comments
23 pages, 2 figures