Boundary determination of the Riemannian metric from Cauchy data for the Stokes equations
Abstract
For a compact connected Riemannian manifold of dimension n with smooth boundary, n≥slant 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.
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