Carleman estimates for second-order hyperbolic systems in anisotropic cases and applications. Part II: an inverse source problem

被引：6
作者：
Li, Shumin [1 ]
机构：
[1] Univ Sci & Technol China, Chinese Acad Sci, Sch Math Sci, Wu Wen Tsun Key Lab Math, Hefei 230026, Anhui, Peoples R China
来源：
APPLICABLE ANALYSIS | 2015年 / 94卷 / 11期
基金：
中国国家自然科学基金;
关键词：
hyperbolic systems; anisotropic cases; inverse source problem; 35L55; 35R30; 74E10; MAXWELLS EQUATIONS; STABILITY;
D O I：
10.1080/00036811.2014.986847
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider Carleman-type estimate and consider an inverse problem for second order hyperbolic systems in an anisotropic case. In the previous Part I paper, we established a Carleman-type estimate for hyperbolic systems in which the coefficient matrices satisfy suitable conditions. We apply a Carleman estimate in the previous Part I paper to an inverse source problem for second-order hyperbolic systems in an anisotropic case and prove an estimate of the Holder type.
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页码：2287 / 2307
页数：21
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