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arXiv:2408.09405 [math.AP]AbstractReferencesReviewsResources

Boundary determination of the Riemannian metric from Cauchy data for the Stokes equations

Xiaoming Tan

Published 2024-08-18Version 1

For a compact connected Riemannian manifold of dimension $n$ with smooth boundary, $n\geqslant 2$, we prove that the Cauchy data (or the Dirichlet-to-Neumann map) for the Stokes equations uniquely determines the partial derivatives of all orders of the metric on the boundary of the manifold.

Comments: 13 pages
Categories: math.AP, math.DG
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