Stability and Reconstruction in Gel'fand Inverse Boundary Spectral Problem
Analysis of PDEs
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0201309,
title = {Stability and Reconstruction in Gel'fand Inverse Boundary Spectral Problem},
author = {Atsushi Katsuda and Yaroslav Kurylev and Matti Lassas},
journal= {arXiv preprint arXiv:math/0201309},
year = {2007}
}