On the stable recovery of a metric from the hyperbolic DN map with incomplete data
Analysis of PDEs
2015-05-13 v1
Abstract
We show that given two hyperbolic Dirichlet to Neumann maps associated to two Riemannian metrics of a Riemannian manifold with boundary which coincide near the boundary are close then the lens data of the two metrics is the same. As a consequence, we prove uniqueness of recovery a conformal factor (sound speed) locally under some conditions on the latter.
Keywords
Cite
@article{arxiv.1505.02853,
title = {On the stable recovery of a metric from the hyperbolic DN map with incomplete data},
author = {Plamen Stefanov and Gunther Uhlmann and Andras Vasy},
journal= {arXiv preprint arXiv:1505.02853},
year = {2015}
}