Stability and Reconstruction in Gel'fand Inverse Boundary Spectral Problem

Details Stability and Reconstruction in Gel'fand Inverse Boundary Spectral Problem Stability and Reconstruction in Gel'fand Inverse Boundary Spectral Problem

2002-01-30

arxiv.org/abs/math/0201309v1

Mathematics

Analysis of PDEs

Scientific paper

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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