In this paper, we investigate the interior transmission eigenvalue problem for elastic waves propagating outside a sound-soft or a sound-hard obstacle surrounded by an anisotropic layer. This study is motivated by the inverse problem of identifying an object embedded in an inhomogeneous media in the presence of elastic waves. Our analysis of this non-selfadjoint eigenvalue problem relies on the weak formulation of involved boundary value problems and some fundamental tools in functional analysis.

中文翻译：

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具有障碍物的介质中弹性波的内部传递特征值问题

在本文中，我们研究了在各向异性层包围的软声或硬声障碍物外部传播的弹性波的内部传输特征值问题。这项研究是受存在弹性波的情况下识别嵌入不均匀介质中的物体的逆问题的启发。我们对此非自伴特征值问题的分析依赖于所涉及的边值问题的弱公式以及功能分析中的一些基本工具。