PreprintarXiv licencearXiv
The quadratic Schrödinger system on 𝕋6
Abstract
In this article, we study the global well-posedness for the quadratic Schrödinger system on 𝕋6. To achieve this, we utilize the concentration-compactness/rigitdity argument initiated by Ionescu and Pausader \cite{IPT3}. Our result is also regarded as a periodic analogue of Gao-Meng-Xu-Zheng \cite{GMXZ}.
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BibTeX
@misc{song2026quadratic,
title = {{The quadratic Schrödinger system on $\mathbbT^6$}},
author = {Yilin Song and Yan Xue and Ruixiao Zhang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.07821},
eprint = {2610.07821},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.07821},
}
RIS
TY - UNPB
TI - The quadratic Schrödinger system on 𝕋^6
AU - Yilin Song
AU - Yan Xue
AU - Ruixiao Zhang
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2610.07821
UR - https://arxiv.org/abs/2610.07821
AB - In this article, we study the global well-posedness for the quadratic Schrödinger system on 𝕋^6. To achieve this, we utilize the concentration-compactness/rigitdity argument initiated by Ionescu and Pausader \cite{IPT3}. Our result is also regarded as a periodic analogue of Gao-Meng-Xu-Zheng \cite{GMXZ}.
ER -