Inverse source problems in transport via attenuated tensor tomography
Analysis of PDEs
2019-08-20 v1
Abstract
We establish results for the injectivity and injectivity modulo gauge of certain inverse source problems in transport on a simply connected domain with variable index of refraction inducing a 'simple geometry'. The model given by radiative transfer involves a scattering kernel with finite harmonic content in the deviation angle. The results on injectivity are constructive, and they are connected to the explicit inversion (modulo kernel) of the attenuated X-ray transform on tensor fields on simple Riemannian surfaces.
Cite
@article{arxiv.1908.06508,
title = {Inverse source problems in transport via attenuated tensor tomography},
author = {Guillaume Bal and François Monard},
journal= {arXiv preprint arXiv:1908.06508},
year = {2019}
}
Comments
19 pages