Year: 2026
Type: preprint
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}.
Source: arXiv (Cornell University)
Authors: Song, Yilin, Xue, Yan, Zhang, Ruixiao
Institution: Northeastern University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220939687