2D inverse problem with a Foliation Condition
Analysis of PDEs
2024-12-11 v4
Abstract
The inverse problem of X-tray transforms considers reconstructing functions from some data that are easier to measure, which is typically the integral of that function along geodesics. We prove that if the domain has a foliation structure, then this reconstruction process is possible on certain function classes.
Keywords
Cite
@article{arxiv.2009.01102,
title = {2D inverse problem with a Foliation Condition},
author = {Qiuye Jia},
journal= {arXiv preprint arXiv:2009.01102},
year = {2024}
}