Preprint
Oct 2026
The quadratic Schr\"odinger system on $\mathbb{T}^6$
In this article, we study the global well-posedness for the quadratic Schr\"odinger 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}.
Yi-Lin Song, Yan Xue, Rui-Xiao Zhang
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