Inverse boundary spectral problem for Riemannian polyhedra
Analysis of PDEs
2007-05-23 v1
Abstract
We consider an admissible Riemannian polyhedron with piece-wise smooth boundary. The associated Laplace defines the boundary spectral data as the set of eigenvalues and restrictions to the boundary of the corresponding eigenfunctions. In this paper we prove that the boundary spectral data prescribed on an open subset of the polyhedron boundary determine the admissible Riemannian polyhedron uniquely.
Cite
@article{arxiv.math/0701911,
title = {Inverse boundary spectral problem for Riemannian polyhedra},
author = {Anna Kirpichnikova and Yaroslav Kurylev},
journal= {arXiv preprint arXiv:math/0701911},
year = {2007}
}
Comments
29 pages, 3 figures