논문KCI 등재
Boundary determination of the Riemannian metric by the elastic Dirichlet-to-Neumann map
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For a compact connected Riemannian manifold with smooth boundary, by computing the full symbol of the elastic Dirichlet-to-\linebreak Neumann map, we prove that the elastic Dirichlet-to-Neumann map can uniquely determine the partial derivatives of all orders of the Riemannian metric on the boundary of the manifold.
Abstract
For a compact connected Riemannian manifold with smooth boundary, by computing the full symbol of the elastic Dirichlet-to-\linebreak Neumann map, we prove that the elastic Dirichlet-to-Neumann map can uniquely determine the partial derivatives of all orders of the Riemannian metric on the boundary of the manifold.
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