The inverse problem for the local ray transform
Differential Geometry
2013-07-23 v2 Analysis of PDEs
Abstract
In this paper we consider the local X-ray transform for general flows. We extend the results on the local and global invertibility of the geodesic ray transform proved by Uhlmann and Vasy \cite{UV} to the X-ray transform for a general flow. The key improvement is that our argument for the ellipticity of the conjugated operator (which is defined in Section 2) can be applied to flows other than the geodesic flow.
Keywords
Cite
@article{arxiv.1304.7023,
title = {The inverse problem for the local ray transform},
author = {Hanming Zhou},
journal= {arXiv preprint arXiv:1304.7023},
year = {2013}
}
Comments
13 pages. arXiv admin note: substantial text overlap with arXiv:1210.2084 by other authors