论文标题
小数据的稳定性：保形方法的漂移模型
Stability for small data: the drift model of the conformal method
论文作者
论文摘要
一般相对论中的共形方法旨在成功地参数与全球双曲线相关的所有初始数据集。大卫·麦克斯韦（David Maxwell）提出了这样的映射。我验证了相应的共形系统的解决方案是稳定的，因为它们在系统系数的扰动下提出了先验界限。该结果成立于尺寸$ 3 \ leq n \ leq 5 $，当度量平坦时，漂移很小。在这种情况下，考虑了具有相当高潜力的标量场。
The conformal method in general relativity aims to successfully parametrise the set of all initial data associated with globally hyperbolic spacetimes. One such mapping was suggested by David Maxwell. I verify that the solutions of the corresponding conformal system are stable, in the sense that they present a priori bounds under perturbations of the system's coefficients. This result holds in dimensions $3\leq n\leq 5$, when the metric is conformally flat, the drift is small. A scalar field with suitably high potential is considered in this case.
