论文标题

远方磁schrödinger操作员的稳定性估计值从近距离和远场模式

Stability estimate for an inverse problem for the time harmonic magnetic Schrödinger operator from the near and far field pattern

论文作者

Bellassoued, Mourad, Haddar, Houssem, Labidi, Amal

论文摘要

我们得出了与时间谐波磁schrödinger方程相关的反向散射问题的条件稳定性估计。我们证明了从近场或远场图中检索磁性(最高梯度)和电势的对数类型估计值。我们的方法结合了基于几何光学溶液的使用中的文献中获得的类似结果的技术。

We derive conditional stability estimates for inverse scattering problems related to time harmonic magnetic Schrödinger equation. We prove logarithmic type estimates for retrieving the magnetic (up to a gradient) and electric potentials from near field or far field maps. Our approach combines techniques from similar results obtained in the literature for inhomogeneous inverse scattering problems based on the use of geometrical optics solutions.

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