Reconstruction of a vector field and a symmetric $2$-tensor field from the moment ray transforms in $\mathbb{R}^2$
Analysis of PDEs
2025-05-06 v1 Classical Analysis and ODEs
Abstract
We present a technique for recovering a vector field and a symmetric -tensor field, both real-valued and compactly supported in some strictly convex bounded domain with smooth boundary in the Euclidean plane, from the sum of their attenuated moment ray transforms. In addition, we provide a stability estimate for recovering both the vector field and the symmetric -tensor field from the aforementioned ray transform.
Cite
@article{arxiv.2505.02028,
title = {Reconstruction of a vector field and a symmetric $2$-tensor field from the moment ray transforms in $\mathbb{R}^2$},
author = {Rahul Bhardwaj and Karishman B. Solanki},
journal= {arXiv preprint arXiv:2505.02028},
year = {2025}
}