Carleman estimates for second-order hyperbolic systems in anisotropic cases and applications. Part II: an inverse source problem |
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| Authors: | Shumin Li |
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| Affiliation: | 1. Wu Wen-Tsun Key Laboratory of Mathematics, USTC, Chinese Academy of Sciences, School of Mathematical Sciences, University of Science and Technology of China, 96 Jinzhai Road, Hefei, Anhui 230026, P.R. China.shuminli@ustc.edu.cn |
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| Abstract: | 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 Hölder type. |
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| Keywords: | hyperbolic systems anisotropic cases inverse source problem |
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