李书敏

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副教授

硕士生导师

教师英文名称:Shumin Li

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学历:博士研究生毕业

学位:博士

毕业院校:东京大学

论文成果

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An inverse source problem for Maxwell's equations in anisotropic media

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DOI码:10.1080/00036810500047725

发表刊物:Applicable Analysis

关键字:Maxwell's equations; Anisotropic; Carleman estimate; Inverse source problem

摘要: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.

合写作者:李書敏,山本昌宏

论文类型:期刊论文

学科门类:理学

文献类型:J

卷号:84

期号:10

页面范围:1051-1067

ISSN号:0003-6811

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发表时间:2005-10-01

发布期刊链接:https://www.tandfonline.com/doi/full/10.1080/00036810500047725