论文标题
全局适合焦点NLS对产品空间的焦点NLS $ \ MATHBB {r} \ times \ Mathbb {t}^3 $
Global Well-posedness for the focusing cubic NLS on the product space $\mathbb{R} \times \mathbb{T}^3$
论文作者
论文摘要
在本文中，我们证明了在产品空间上的聚焦非线性schrödinger方程$ \ mathbb {r} \ times \ times \ mathbb {t}^3 $，其初始数据低于欧几里得环境中的基态阈值。讨论并在Ionescu-pausader \ cite {iprt3}（Comm。Math。Phys。312（2012），第3、781-831号）中讨论并证明了散热性模拟。
In this paper, we prove the global well-posedness for the focusing, cubic nonlinear Schrödinger equation on the product space $\mathbb{R} \times \mathbb{T}^3$ with initial data below the threshold that arises from the the ground state in the Euclidean setting. The defocusing analogue was discussed and proved in Ionescu-Pausader \cite{IPRT3} (Comm. Math. Phys. 312 (2012), no. 3, 781-831).
