Kirpichnikova, A. and Kurylev, Y. (2012) Inverse boundary spectral problem for Riemannian polyhedra. Mathematische Annalen, 354(3), pp. 1003-1028. (doi: 10.1007/s00208-011-0758-9)
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Abstract
We consider a Riemannian polyhedron of a special type with a piecewise smooth boundary. The associated Neumann Laplacian 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 this polyhedron uniquely, i.e. up to an isometry.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Kirpichnikova, Dr Anna |
| Authors: | Kirpichnikova, A., and Kurylev, Y. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Mathematische Annalen |
| ISSN: | 0025-5831 |
| Published Online: | 01 December 2011 |
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