4.4 Article

Carleman estimates for second-order hyperbolic systems in anisotropic cases and applications. Part I: Carleman estimates

Journal

APPLICABLE ANALYSIS
Volume 94, Issue 11, Pages 2261-2286

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/00036811.2014.983486

Keywords

Carleman estimate; hyperbolic systems; anisotropic cases; 35L55; 35R30; 74E10

Funding

  1. National Natural Science Foundation of China [11101391]

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In this paper, we consider Carleman-type estimates and an inverse source problem for second-order hyperbolic systems in an anisotropic case. In Part I, we establish a Carleman-type estimate for hyperbolic systems in an anisotropic case by assuming that the coefficient matrices in the systems satisfy suitable conditions and taking the weight function

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