Inverse problems in spectral geometry
Spectral Theory
2013-08-28 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
In this survey we review positive inverse spectral and inverse resonant results for the following kinds of problems: Laplacians on bounded domains, Laplace-Beltrami operators on compact manifolds, Schr\"odinger operators, Laplacians on exterior domains, and Laplacians on manifolds which are hyperbolic near infinity.
Cite
@article{arxiv.1108.5755,
title = {Inverse problems in spectral geometry},
author = {Kiril Datchev and Hamid Hezari},
journal= {arXiv preprint arXiv:1108.5755},
year = {2013}
}
Comments
26 pages