Bilinear estimate for Schrödinger equation on $\mathbb{R} \times \mathbb{T}$
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914202130579456 |
|---|---|
| author | Deng, Yangkendi Di, Boning Fan, Chenjie Zhao, Zehua |
| author_facet | Deng, Yangkendi Di, Boning Fan, Chenjie Zhao, Zehua |
| contents | We continue our study of bilinear estimates on waveguide $\mathbb{R}\times \mathbb{T}$ started in \cite{DFYZZ2024,Deng2023}. The main point of the current article is, comparing to previous work \cite{Deng2023}, that we obtain estimates beyond the semiclassical time regime. Our estimate is sharp in the sense that one can construct examples which saturate this estimate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05654 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bilinear estimate for Schrödinger equation on $\mathbb{R} \times \mathbb{T}$ Deng, Yangkendi Di, Boning Fan, Chenjie Zhao, Zehua Analysis of PDEs Classical Analysis and ODEs We continue our study of bilinear estimates on waveguide $\mathbb{R}\times \mathbb{T}$ started in \cite{DFYZZ2024,Deng2023}. The main point of the current article is, comparing to previous work \cite{Deng2023}, that we obtain estimates beyond the semiclassical time regime. Our estimate is sharp in the sense that one can construct examples which saturate this estimate. |
| title | Bilinear estimate for Schrödinger equation on $\mathbb{R} \times \mathbb{T}$ |
| topic | Analysis of PDEs Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2407.05654 |