Unique determination of absorption coefficients in a semilinear transport equation
Analysis of PDEs
2020-07-21 v1 Mathematical Physics
math.MP
Abstract
Motivated by applications in quantitative photoacoustic imaging, we study inverse problems to a semilinear radiative transport equation (RTE) where we intend to reconstruct absorption coefficients in the equation from single and multiple internal data sets. We derive uniqueness and stability results for the inverse transport problem in the absence of scattering (in which case we also derive some explicit reconstruction methods) and in the presence of known scattering.
Keywords
Cite
@article{arxiv.2007.09516,
title = {Unique determination of absorption coefficients in a semilinear transport equation},
author = {Kui Ren and Yimin Zhong},
journal= {arXiv preprint arXiv:2007.09516},
year = {2020}
}
Comments
30 pages