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影响因子：1.3

DOI码：10.1016/j.jmaa.2017.06.053

发表刊物：Journal of Mathematical Analysis and Applications

关键字：Inverse problem; Maxwell's equations; Uniaxially anisotropic; Carleman estimate

摘要：We consider Maxwell’s equations for a uniaxially anisotropic and inhomogeneous medium. We discuss an inverse problem of determining the permittivity tensor (ε_1 0 0 \\ 0 ε 0 \\ 0 0 ε) and the permeability tensor (μ_1 0 0 \\ 0 μ 0 \\ 0 0 μ) in the constitutive relations from a finite number of lateral boundary measurements. Applying a Carleman estimate, we prove a stability estimate of Lipschitz type for the inverse problem, provided that ε_1, ε, μ_1, μ satisfy some a priori conditions.

合写作者：赵丽霞,李书敏,宁吴庆

第一作者：尚云侠

论文类型：期刊论文

论文编号：000409565300037

卷号：456

期号：2

页面范围：1415-1441

是否译文：否

发表时间：2017-12-15

发布期刊链接：https://linkinghub.elsevier.com/retrieve/pii/S0022247X17306145