Spectral theory and inverse problem on asymptotically hyperbolic orbifolds
Analysis of PDEs
2013-12-03 v1
Abstract
We consider an inverse problem associated with -dimensional asymptotically hyperbolic orbifolds having a finite number of cusps and regular ends. By observing solutions of the Helmholtz equation at the cusp, we introduce a generalized -matrix, and then show that it determines the manifolds with its Riemannian metric and the orbifold structure.
Cite
@article{arxiv.1312.0421,
title = {Spectral theory and inverse problem on asymptotically hyperbolic orbifolds},
author = {Hiroshi Isozaki and Yaroslav Kurylev and Matti Lassas},
journal= {arXiv preprint arXiv:1312.0421},
year = {2013}
}