Inverse Problem: Stability for the aligned magnetic field by the Dirichlet-to-Neumann map for the wave equation in a periodic quantum waveguide
Inverse Problem: Stability for the aligned magnetic field by the Dirichlet-to-Neumann map for the wave equation in a periodic quantum waveguide
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反演问题：周期性量子波导中波动方程的狄利克雷-诺依曼映射的对准磁场的稳定性
DOI：
10.46298/arima.1509
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Mejri Youssef
中科院分区：
文献类型：
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作者：
Mejri Youssef
本文研究了由边界观测确定周期量子圆柱波导中磁波动方程中的定向磁场的边界反问题。观测由波动方程的狄利克雷-诺依曼映射给出。本文通过磁波动方程的几何光学解证明了Dirichlet-to-Neumann映射的知识唯一地决定了由时间无关的1周期磁势所产生的定向磁场。我们建立了一个Holder型稳定性估计的反问题。
We consider the boundary inverse problem of determining the aligned magnetic field appearing in the magnetic wave equation in a periodic quantum cylindrical waveguide from boundary observations. The observation is given by the Dirichlet to Neumann map associated to the wave equation. We prove by means of the geometrical optics solutions of the magnetic wave equation that the knowledge of the Dirichlet-to-Neumann map determines uniquely the aligned magnetic field induced by a time independent and 1-periodic magnetic potential. We establish a Holder-type stability estimate in the inverse problem.
DOI：
10.1201/9781420036220
发表时间：
2001-07
期刊：
--
影响因子：
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作者：
A. Katchalov;Y. Kurylev;M. Lassas
通讯作者：
A. Katchalov;Y. Kurylev;M. Lassas