Abstract

We propose a new approach to solve the inverse boundary value problems in the Euclidean space. The idea consists of embedding the problem into hyperbolic manifolds and using their spectral properties. As a by-product, one can discuss the reconstruction of local conformal deformation of the metric of hyperbolic manifolds from the spectral data at infinity. We also propose a new spectral data observed from the cusp neighborhood at infinity.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1261-1313
Launched on MUSE
2004-11-30
Open Access
No
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