Inverse boundary spectral problem for Riemannian polyhedra

Details Inverse boundary spectral problem for Riemannian polyhedra Inverse boundary spectral problem for Riemannian polyhedra

2007-01-31

arxiv.org/abs/math/0701911v1

Mathematics

Analysis of PDEs

29 pages, 3 figures

Scientific paper

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.

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