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On the stability of an inverse problem for waves via the Boundary Control method
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We establish a link between stability estimates for a hyperbolic inverse problem via the Boundary Control method and the blowup of a constant appearing in the contexts of optimal unique continuation and cost of approximate controllability.
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Cited by 2 Pith papers
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Stability of Gel'fand's inverse interior spectral problem for Schr\"odinger operators
Approximate eigen-data on an open subset determine a closed Riemannian manifold up to Lipschitz distance epsilon^(1/12) and a Lipschitz potential up to epsilon^(1/(80n)), giving double-logarithmic stability.
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H\"older stability of an inverse spectral problem for the magnetic Schr\"odinger operator on a simple manifold
On simple Riemannian manifolds, the electric potential and the solenoidal magnetic potential of the magnetic Schrödinger operator are recovered Hölder stably from eigenvalues and Neumann traces of Dirichlet eigenfunctions.
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