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The anisotropic Calder\'on problem for high fixed frequency

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arxiv 2104.03477 v1 pith:O4TUWEXN submitted 2021-04-08 math.AP

The anisotropic Calder\'on problem for high fixed frequency

classification math.AP
keywords fixedfrequencyhighanisotropicboundariescaldercompactconnected
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We consider Schr\"odinger 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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