In this article we study stability aspects for the determination of time-dependent vector and scalar potentials in relativistic Schrodinger equation from partial knowledge of boundary measurements. For space dimensions strictly greater than 2 we obtain log-log stability estimates for the determination of vector potentials (modulo gauge equivalence) and log-log-log stability estimates for the determination of scalar potentials from partial boundary data assuming suitable a-priori bounds on these potentials.

中文翻译：

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部分边界数据对相对论 Schr\"odinger 方程的稳定性估计

在本文中，我们从边界测量的部分知识中研究了确定相对论薛定谔方程中的时间相关矢量和标量势的稳定性方面。对于严格大于 2 的空间维度，我们获得用于确定向量势（模规范等价）的对数对数稳定性估计和用于从部分边界数据确定标量势的对数对数稳定性估计，假设合适的先验界限这些潜力。