Isozaki, H;
Kurylev, Y;
Lassas, M;
(2013)
Spectral theory and inverse problem on asymptotically hyperbolic orbifolds.
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Abstract
We consider an inverse problem associated with $n$-dimensional asymptotically hyperbolic orbifolds $(n \geq 2)$ having a finite number of cusps and regular ends. By observing solutions of the Helmholtz equation at the cusp, we introduce a generalized $S$-matrix, and then show that it determines the manifolds with its Riemannian metric and the orbifold structure.
| Type: | Working / discussion paper |
|---|---|
| Title: | Spectral theory and inverse problem on asymptotically hyperbolic orbifolds |
| Open access status: | An open access version is available from UCL Discovery |
| Language: | English |
| Keywords: | Math.AP, math.AP, 35R30, 58J50, 57R18 |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/1542503 |
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