论文标题
相对论schrödinger方程的稳定性估计来自部分边界数据
Stability estimates for relativistic Schrödinger equation from partial boundary data
论文作者
论文摘要
在本文中，我们研究了从边界测量的部分知识中确定相对论schrödinger方程中时间依赖性向量和标量势的稳定方面。对于严格大于2的空间尺寸，我们获得了对数势（模量量规等值）和对数gog-log稳定性估计的对数稳定性估计值，从而从部分边界数据中确定标量势，假设有适当的A-Priori在这些电位上。
In this article we study stability aspects for the determination of time-dependent vector and scalar potentials in relativistic Schrödinger 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.
