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.

中文翻译：

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小数据的稳定性：保形方法的漂移模型

广义相对论中的共形方法旨在成功地参数化与全局双曲时空相关的所有初始数据的集合。David Maxwell 建议了一种这样的映射。我验证相应共形系统的解是稳定的，因为它们在系统系数的扰动下呈现先验界限。这个结果在维度 $3\leq n\leq 5$ 中成立，当度量是共形平坦时，漂移很小。在这种情况下考虑具有适当高电位的标量场。