An inverse source problem for Maxwell's equations in anisotropic media
An inverse source problem for Maxwell's equations in anisotropic media
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DOI：
10.1080/00036810500047725
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发表时间：
2005-09
影响因子：
1.1
通讯作者：
Shumin Li;Masahiro Yamamoto
中科院分区：
文献类型：
--
作者：
Shumin Li;Masahiro Yamamoto
本文考虑（x1，x2，x3）空间中各向异性介质中的非定常麦克斯韦方程组，其中电、磁通量密度的发散方程也是未知的。然后，我们讨论了一个反问题，确定的x3-独立分量的电流密度从平面上的观察x3 = 0在一个时间间隔。我们的主要目的是，研究条件稳定性的反问题提供的介电常数和磁导率是独立的x 3。主要工具是一个新的Carleman估计。
In this article, we consider nonstationary Maxwell's equations in an anisotropic medium in the (x 1, x 2, x 3)-space, where equations of the divergences of electric and magnetic flux densities are also unknown. Then we discuss an inverse problem of determining the x 3-independent components of the electric current density from observations on the plane x 3 = 0 over a time interval. Our main aim is, study conditional stability in the inverse problem provided the permittivity and the permeability are independent of x 3. The main tool is a new Carleman estimate.