Cakoni FKow P.-ZJENN-NAN WANG2021-07-212021-07-21202119308337https://www.scopus.com/inward/record.uri?eid=2-s2.0-85105409944&doi=10.3934%2fipi.2020075&partnerID=40&md5=bb4b98e5b998cd7e3ec3e1cefd185358https://scholars.lib.ntu.edu.tw/handle/123456789/572152In 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. ? 2021, American Institute of Mathematical Sciences. All rights reserved.[SDGs]SDG3[SDGs]SDG11journal article10.3934/ipi.20200752-s2.0-85105409944