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Stability and Reconstruction in Gel'fand Inverse Boundary Spectral Problem

Atsushi Katsuda·Yaroslav Kurylev·Matti Lassas
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Abstract

We consider stability and approximate reconstruction of Riemannian manifold when the finite number of eigenvalues of the Laplace-Beltrami operator and the boundary values of the corresponding eigenfunctions are given. The reconstruction can be done in stable way when manifold is a priori known to satisfy natural geometrical conditions related to curvature and other invariant quantities.

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Atsushi Katsuda, Yaroslav Kurylev, Matti Lassas. 2002-01-30. Stability and Reconstruction in Gel'fand Inverse Boundary Spectral Problem. https://arxiv.org/abs/math/0201309

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