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The Anisotropic Calderón Problem for High Fixed Frequency

SIAM Journal on Mathematical Analysis(2024)

Univ Washington

Cited 4|Views9
Abstract
We consider Schrödinger operators at a fixed high frequency on simply connected compact Riemannian manifolds with non-positive sectional curvatures and smooth strictly convex boundaries. We prove that the Dirichlet-to-Neumann map uniquely determines the potential.
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Key words
anisotropic Calderon problem,high frequency,geodesic ray transform
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