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Stability estimates for time-dependent coefficients appearing in the magnetic Schrödinger equation from arbitrary boundary measurements
Inverse Problems and Imaging ( IF 1.3 ) Pub Date : 2020-07-06 , DOI: 10.3934/ipi.2020039 Mourad Bellassoued , , Oumaima Ben Fraj
Inverse Problems and Imaging ( IF 1.3 ) Pub Date : 2020-07-06 , DOI: 10.3934/ipi.2020039 Mourad Bellassoued , , Oumaima Ben Fraj
In this work, we study the stable determination of time-dependent coefficients appearing in the Schrödinger equation from partial Dirichlet-to-Neumann map measured on an arbitrary part of the boundary. Specifically, we establish stability estimates up to the natural gauge for the magnetic potential.
中文翻译:
来自任意边界测量的磁性薛定ding方程中出现的随时间变化的系数的稳定性估计
在这项工作中,我们研究了在边界的任意部分上测得的局部Dirichlet-Neumann映射中Schrödinger方程中出现的随时间变化的系数的稳定确定。具体而言,我们建立了直到自然势能的磁势稳定度估计。
更新日期:2020-07-20
中文翻译:
来自任意边界测量的磁性薛定ding方程中出现的随时间变化的系数的稳定性估计
在这项工作中,我们研究了在边界的任意部分上测得的局部Dirichlet-Neumann映射中Schrödinger方程中出现的随时间变化的系数的稳定确定。具体而言,我们建立了直到自然势能的磁势稳定度估计。