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This paper discusses the question of determining an unknown coefficient a(z) in an elliptic partial differential equation arising from the equation of motion in a nonhomogeneous half plane
from the Dirichlet-Neumann pair
. We discuss the uniqueness of this determination. One of the applications of this study is the determination of depth-dependent inhomogeneity of the earth.
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No potential conflict of interest was reported by the author.
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