PreprintarXiv licencearXiv
Sharp Strichartz estimates on the one-dimensional torus
Abstract
In this article, we prove the sharp Strichartz estimates for the Schrödinger equation on the one-dimensional torus. More precisely, via obtaining a sharp weak L6 estimate with no derivative loss, we obtain sharp L6 Strichartz estimate, and sharp no loss Lp Strichartz estimate for any 2<p<6. The latter answers a question by Bourgain \cite{Bourgain93}.
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BibTeX
@misc{deng2026sharp,
title = {{Sharp Strichartz estimates on the one-dimensional torus}},
author = {Yangkendi Deng and Chenjie Fan and Shaoming Guo and Zihua Guo and Yongming Luo},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.18670},
eprint = {2609.18670},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.18670},
}
RIS
TY - UNPB
TI - Sharp Strichartz estimates on the one-dimensional torus
AU - Yangkendi Deng
AU - Chenjie Fan
AU - Shaoming Guo
AU - Zihua Guo
AU - Yongming Luo
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2609.18670
UR - https://arxiv.org/abs/2609.18670
AB - In this article, we prove the sharp Strichartz estimates for the Schrödinger equation on the one-dimensional torus. More precisely, via obtaining a sharp weak L^6 estimate with no derivative loss, we obtain sharp L^6 Strichartz estimate, and sharp no loss L^p Strichartz estimate for any 2<p<6. The latter answers a question by Bourgain \cite{Bourgain93}.
ER -