Boundary determination of the Riemannian metric by the elastic Dirichlet-to-Neumann map

Xiaoming Tan

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arXiv · 2407.04946

Boundary determination of the Riemannian metric by the elastic Dirichlet-to-Neumann map

Xiaoming Tan

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Abstract

For a compact connected Riemannian manifold with smooth boundary, by computing the full symbol of the elastic Dirichlet-to-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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Xiaoming Tan. 2024-07-06. Boundary determination of the Riemannian metric by the elastic Dirichlet-to-Neumann map. https://arxiv.org/abs/2407.04946

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