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arXiv · 2610.07821

The quadratic Schrödinger system on $\mathbb{T}^6$

Yilin Song·Yan Xue·Ruixiao Zhang
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Abstract

In this article, we study the global well-posedness for the quadratic Schrödinger system on $\mathbb{T}^6$. 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}.

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Yilin Song, Yan Xue, Ruixiao Zhang. 2026-10-06. The quadratic Schrödinger system on $\mathbb{T}^6$. https://arxiv.org/abs/2610.07821

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